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 [1


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 [2]
Chapter 1.
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LaTeX Warning: Command \^ invalid in math mode on input line 61.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+Â
                                                  ·Â·Â·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.61 ...n for the abelian group $G=Z_L[1]+Z_L[2]+Â
                                                  ·Â·Â·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


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1.

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1.


LaTeX Warning: Command \^ invalid in math mode on input line 61.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+Â·Â
                                                  ·Â·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.61 ...for the abelian group $G=Z_L[1]+Z_L[2]+Â·Â
                                                  ·Â·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.


LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.


LaTeX Warning: Command \^ invalid in math mode on input line 61.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+Â·Â·Â
                                                  ·+Z_L[d]$ .
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.61 ...r the abelian group $G=Z_L[1]+Z_L[2]+Â·Â·Â
                                                  ·+Z_L[d]$ .
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.


LaTeX Warning: Command \textperiodcentered invalid in math mode on input line 6
1.

Missing character: There is no ç in font zpsycmrv!
Missing character: There is no ç in font zpsycmrv!
Missing character: There is no ç in font zpsycmrv!
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LaTeX Warning: Command \~ invalid in math mode on input line 122.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.122 ...$-resolution for the direct product $D=GÃ
                                                  —H$.
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.122 ...$-resolution for the direct product $D=GÃ
                                                  —H$.
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


! Package inputenc Error: Keyboard character used is undefined
(inputenc)                in inputencoding `latin1'.

See the inputenc package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.122 ...-resolution for the direct product $D=GÃ—
                                                  H$.
You need to provide a definition with \DeclareInputText 
or \DeclareInputMath before using this key.

Missing character: There is no ç in font zpsycmrv!

Overfull \hbox (3477.57355pt too wide) in paragraph at lines 59--216
 [] 
 []

[3

]
Chapter 2.

Overfull \hbox (482.18367pt too wide) in paragraph at lines 226--229
 [] 
 []

[4

]
Chapter 3.

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.245 \item  $
              M!.source$ is the resolution $R$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.245 \item  $
              M!.source$ is the resolution $R$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.245 \item  $
              M!.source$ is the resolution $R$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.246 \item  $
              M!.target$ is the resolution $S$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.246 \item  $
              M!.target$ is the resolution $S$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.246 \item  $
              M!.target$ is the resolution $S$.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.247 \item $
             M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.247 \item $
             M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.247 \item $
             M!.mapping(w,n)$ is a function which gives the image in $S_n$, ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.248 \item  $
              F!.properties$ is a list of pairs such as ["type", "equivarian...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.248 \item  $
              F!.properties$ is a list of pairs such as ["type", "equivarian...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.248 \item  $
              F!.properties$ is a list of pairs such as ["type", "equivarian...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.249 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.249 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.249 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


Overfull \hbox (1991.52902pt too wide) in paragraph at lines 239--253
 [] 
 []

[5

]
Chapter 4.

LaTeX Warning: Command \~ invalid in math mode on input line 271.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.271 ...ngrightarrow GL_n(Z)$ to the group of $nÃ
                                                  —n$ invertible integer mat...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.271 ...ngrightarrow GL_n(Z)$ to the group of $nÃ
                                                  —n$ invertible integer mat...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


! Package inputenc Error: Keyboard character used is undefined
(inputenc)                in inputencoding `latin1'.

See the inputenc package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.271 ...grightarrow GL_n(Z)$ to the group of $nÃ—
                                                  n$ invertible integer matr...

You need to provide a definition with \DeclareInputText 
or \DeclareInputMath before using this key.

Missing character: There is no ç in font zpsycmrv!

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[6

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Chapter 5.

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[7

]
Chapter 6.

! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.339 \item I
             f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.339 \item I
             f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.339 \item I
             f $X=C$ then the torsion coefficients of $H^n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.340 \item I
             f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.340 \item I
             f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.340 \item I
             f $X=(C \longrightarrow D)$ then the induced homomorphism $H^n(...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.341 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.341 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.341 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.374 \item I
             f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.374 \item I
             f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.374 \item I
             f $X=C$ then the torsion coefficients of $H_n(C)$ are retuned.
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.375 \item  I
              f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.375 \item  I
              f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.375 \item  I
              f $X=(C \longrightarrow D)$ then the induced homomorphism $H_n...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.376 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.376 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.376 \end{itemize}
                   
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[8

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Chapter 7.

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[9

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Chapter 8.

! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.485 \item  $
              P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.485 \item  $
              P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.485 \item  $
              P$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.486 \item  $
              Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.486 \item  $
              Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.486 \item  $
              Q$ is the output of the command $CR_CocyclesAndCoboundaries(R,...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.487 \item $
             N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.487 \item $
             N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.487 \item $
             N$ is the output of the command $CR_CocyclesAndCoboundaries(R,p...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.488 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.488 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.488 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


Overfull \hbox (4655.92128pt too wide) in paragraph at lines 473--526
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[10

]
Chapter 9.

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.554 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \wedge N) \lo...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.554 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \wedge N) \lo...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.554 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \wedge N) \lo...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


LaTeX Warning: Command \^ invalid in math mode on input line 554.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.554 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \wedge N) \longrigh...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.554 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \wedge N) \longrigh...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

LaTeX Warning: Command \^ invalid in math mode on input line 554.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.554 ...t $(G \wedge N)$ to $G$. The kernel of $Â
                                                  µ$ is the relative Schur m...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.554 ...t $(G \wedge N)$ to $G$. The kernel of $Â
                                                  µ$ is the relative Schur m...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.555 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.555 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.555 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.556 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.556 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.556 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.573 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \tilde\otimes...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.573 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \tilde\otimes...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.573 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \tilde\otimes...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


LaTeX Warning: Command \^ invalid in math mode on input line 573.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.573 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \tilde\otimes G) \l...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.573 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \tilde\otimes G) \l...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

LaTeX Warning: Command \^ invalid in math mode on input line 573.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.573 ...ic square of $G$ to $G$. The kernel of $Â
                                                  µ$ is isomorphic to the fo...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.573 ...ic square of $G$ to $G$. The kernel of $Â
                                                  µ$ is isomorphic to the fo...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.574 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.574 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.574 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.575 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.575 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.575 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.588 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \otimes N ) \...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.588 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \otimes N ) \...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.588 \item  $
              E.homomorphism$ is a group homomorphism $Âµ : (G \otimes N ) \...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


LaTeX Warning: Command \^ invalid in math mode on input line 588.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.588 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \otimes N ) \longri...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.588 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \otimes N ) \longri...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.589 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.589 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.589 \item  $
              E.pairing(x,y)$ is a function which inputs an element $x$ in $...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.590 \end{itemize}
                   
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
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l.590 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.590 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.598 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \otimes G) \l...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.598 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \otimes G) \l...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.598 \item  $
              T.homomorphism$ is a group homomorphism $Âµ : (G \otimes G) \l...

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LaTeX Warning: Command \^ invalid in math mode on input line 598.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.598 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \otimes G) \longrig...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.598 ....homomorphism$ is a group homomorphism $Â
                                                  µ : (G \otimes G) \longrig...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

LaTeX Warning: Command \^ invalid in math mode on input line 598.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.598 ...or square of $G$ to $G$. The kernel of $Â
                                                  µ$ is isomorphic to the th...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.598 ...or square of $G$ to $G$. The kernel of $Â
                                                  µ$ is isomorphic to the th...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.599 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.599 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.599 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.600 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.600 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.600 \end{itemize}
                   
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Overfull \hbox (4275.65884pt too wide) in paragraph at lines 536--637
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[11

]
Chapter 10.

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l.653 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.653 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.653 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.654 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.654 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.654 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.656 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.656 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.656 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.662 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.662 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.662 \item t
             he kernel of $phi$ lies in both the centre of $C$ and the deriv...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.663 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.663 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.663 \item  t
              he kernel of $phi$ is a vector space of rank equal to the rank...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.664 \end{itemize}
                   
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 ...                                              
                                                  
l.664 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.664 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.673 \item  $
              E.homomorphism$ is a Lie homomorphism $Âµ : (L \wedge L) \long...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.673 \item  $
              E.homomorphism$ is a Lie homomorphism $Âµ : (L \wedge L) \long...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.673 \item  $
              E.homomorphism$ is a Lie homomorphism $Âµ : (L \wedge L) \long...

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If that doesn't work, type  X <return>  to quit.


LaTeX Warning: Command \^ invalid in math mode on input line 673.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.673 ...$E.homomorphism$ is a Lie homomorphism $Â
                                                  µ : (L \wedge L) \longrigh...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.673 ...$E.homomorphism$ is a Lie homomorphism $Â
                                                  µ : (L \wedge L) \longrigh...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

LaTeX Warning: Command \^ invalid in math mode on input line 673.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.673 ...e $(L \wedge L)$ to $L$. The kernel of $Â
                                                  µ$ is the Lie multiplier.
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.673 ...e $(L \wedge L)$ to $L$. The kernel of $Â
                                                  µ$ is the Lie multiplier.
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.674 \item  $
              E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.674 \item  $
              E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.674 \item  $
              E.pairing(x,y)$ is a function which inputs elements $x, y$ in ...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.675 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.675 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.675 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.681 \item  $
              T.homomorphism$ is a Lie homomorphism $Âµ : (L \otimes L) \lon...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.681 \item  $
              T.homomorphism$ is a Lie homomorphism $Âµ : (L \otimes L) \lon...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.681 \item  $
              T.homomorphism$ is a Lie homomorphism $Âµ : (L \otimes L) \lon...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


LaTeX Warning: Command \^ invalid in math mode on input line 681.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.681 ...$T.homomorphism$ is a Lie homomorphism $Â
                                                  µ : (L \otimes L) \longrig...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.681 ...$T.homomorphism$ is a Lie homomorphism $Â
                                                  µ : (L \otimes L) \longrig...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.

Missing character: There is no ç in font zpsycmrv!

! LaTeX Error: Something's wrong--perhaps a missing \item.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.682 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.682 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.682 \item  $
              T.pairing(x,y)$ is a function which inputs two elements $x, y$...

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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.683 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.683 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.683 \end{itemize}
                   
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[12

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Chapter 11.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.734 \item  $
              P.freeGroup$ is a free group $F$,
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.734 \item  $
              P.freeGroup$ is a free group $F$,
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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.734 \item  $
              P.freeGroup$ is a free group $F$,
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If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.735 \item  $
              P.relators$ is a list $S$ of words in $F$,
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.735 \item  $
              P.relators$ is a list $S$ of words in $F$,
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.735 \item  $
              P.relators$ is a list $S$ of words in $F$,
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.736 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.736 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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[13

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Chapter 12.

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l.771 \item  p
              rints the dimension of the orbit polytope $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.771 \item  p
              rints the dimension of the orbit polytope $P(G,v)$;
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.771 \item  p
              rints the dimension of the orbit polytope $P(G,v)$;
Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.772 \item  p
              rints the degree of a vertex in the graph of $P(G,v)$;
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 ...                                              
                                                  
l.772 \item  p
              rints the degree of a vertex in the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.772 \item  p
              rints the degree of a vertex in the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.773 \item  v
              isualizes the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.773 \item  v
              isualizes the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.773 \item  v
              isualizes the graph of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.774 \item  v
              isualizes the Schlegel diagram of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.774 \item  v
              isualizes the Schlegel diagram of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.774 \item  v
              isualizes the Schlegel diagram of $P(G,v)$;
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.775 \item  v
              isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.775 \item  v
              isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.775 \item  v
              isualizes $P(G,v)$ if the polytope is of dimension 2 or 3.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.776 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.776 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.776 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.784 \item  $
              R!.dimension(k)$ is a function which returns the number of $G$...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.784 \item  $
              R!.dimension(k)$ is a function which returns the number of $G$...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.784 \item  $
              R!.dimension(k)$ is a function which returns the number of $G$...

Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.


! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.785 \item  $
              R!.stabilizer(k,n)$ is a function which returns the stabilizer...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.785 \item  $
              R!.stabilizer(k,n)$ is a function which returns the stabilizer...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.785 \item  $
              R!.stabilizer(k,n)$ is a function which returns the stabilizer...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Type  H <return>  for immediate help.
 ...                                              
                                                  
l.786 \item  I
              f all faces of dimension {\textless}$k+1$ have trivial stabili...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.786 \item  I
              f all faces of dimension {\textless}$k+1$ have trivial stabili...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.786 \item  I
              f all faces of dimension {\textless}$k+1$ have trivial stabili...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.787 \item  $
              R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.787 \item  $
              R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.787 \item  $
              R!.elements$, $R!.group$, $R!.properties$ are as in a $ZG$-res...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.788 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.788 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.788 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.797 \item  $
              P.generators$ is a list of all those elements $g$ in $G$ such ...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.797 \item  $
              P.generators$ is a list of all those elements $g$ in $G$ such ...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.797 \item  $
              P.generators$ is a list of all those elements $g$ in $G$ such ...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.798 \item  $
              P.vector$ is the vector $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.798 \item  $
              P.vector$ is the vector $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.798 \item  $
              P.vector$ is the vector $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.799 \item $
             P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.799 \item $
             P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.799 \item $
             P.hasseDiagram$ is the Hasse diagram of the cone at $v$.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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 ...                                              
                                                  
l.800 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.800 \end{itemize}
                   
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.800 \end{itemize}
                   
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Chapter 13.

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Chapter 14.
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Chapter 15.

! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.901 \item $
             R.freeModule$ is the free module $FG$ of rank one.
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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.901 \item $
             R.freeModule$ is the free module $FG$ of rank one.
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l.901 \item $
             R.freeModule$ is the free module $FG$ of rank one.
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l.902 \item $
             R.basis$ is a list representing an $F$-basis for the module $Ho...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.902 \item $
             R.basis$ is a list representing an $F$-basis for the module $Ho...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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l.902 \item $
             R.basis$ is a list representing an $F$-basis for the module $Ho...

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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! LaTeX Error: Something's wrong--perhaps a missing \item.

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Chapter 16.

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Chapter 17.

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Chapter 18.

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Chapter 19.

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Chapter 20.

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Chapter 21.

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Chapter 22.

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Chapter 23.

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Chapter 24.

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Chapter 25.

LaTeX Warning: Command \~ invalid in math mode on input line 1393.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
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                     —n$ matrix $M$ and a $kÃ—n$ matrix $B$ over a field. It...
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! You can't use `\spacefactor' in math mode.
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l.1393  Inputs an $mÃ
                     —n$ matrix $M$ and a $kÃ—n$ matrix $B$ over a field. It...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


! Package inputenc Error: Keyboard character used is undefined
(inputenc)                in inputencoding `latin1'.

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l.1393  Inputs an $mÃ—
                      n$ matrix $M$ and a $kÃ—n$ matrix $B$ over a field. It...

You need to provide a definition with \DeclareInputText 
or \DeclareInputMath before using this key.

Missing character: There is no ç in font zpsycmrv!

LaTeX Warning: Command \~ invalid in math mode on input line 1393.

! Please use \mathaccent for accents in math mode.
\add@accent ...@spacefactor \spacefactor }\accent 
                                                  #1 #2\egroup \spacefactor ...
l.1393  Inputs an $mÃ—n$ matrix $M$ and a $kÃ
                                             —n$ matrix $B$ over a field. It...
I'm changing \accent to \mathaccent here; wish me luck.
(Accents are not the same in formulas as they are in text.)

! You can't use `\spacefactor' in math mode.
\add@accent ...}\accent #1 #2\egroup \spacefactor 
                                                  \accent@spacefactor 
l.1393  Inputs an $mÃ—n$ matrix $M$ and a $kÃ
                                             —n$ matrix $B$ over a field. It...
Sorry, but I'm not programmed to handle this case;
I'll just pretend that you didn't ask for it.
If you're in the wrong mode, you might be able to
return to the right one by typing `I}' or `I$' or `I\par'.


! Package inputenc Error: Keyboard character used is undefined
(inputenc)                in inputencoding `latin1'.

See the inputenc package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.1393  Inputs an $mÃ—n$ matrix $M$ and a $kÃ—
                                              n$ matrix $B$ over a field. It...

You need to provide a definition with \DeclareInputText 
or \DeclareInputMath before using this key.

Missing character: There is no ç in font zpsycmrv!

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