  
  
                            [1XGAP 4 Package [5Xrecogbase[0m[1X[0m
  
  
                       [1XA framework for group recognition[0m
  
  
                                      1.0
  
  
                                 November 2009
  
  
                                Max Neunhoeffer
  
                                  Ákos Seress
  
  
  
  Max Neunhoeffer
      Email:    [7Xmailto:neunhoef@mcs.st-and.ac.uk[0m
      Homepage: [7Xhttp://www-groups.mcs.st-and.ac.uk/~neunhoef/[0m
      Address:  School  of Mathematics and Statistics, Mathematical Institute,
                North Haugh, St Andrews, Fife, KY16 9SS, Scotland, UK
  
  
  Ákos Seress
      Email:    [7Xmailto:akos@math.ohio-state.edu[0m
      Homepage: [7Xhttp://www.math.ohio-state.edu/people/display/display.php?ID=302[0m
      Address:  Department  of  Mathematics,  The Ohio State University, 231 W
                18th Avenue, Columbus, OH 43210 USA
  
  
  
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  [1XCopyright[0m
  © 2005-2009 by Max Neunhöffer and Ákos Seress
  
  This  package  may  be distributed under the terms and conditions of the GNU
  Public License Version 3 or (at your option) any later version.
  
  
  -------------------------------------------------------
  
  
  [1XContents (recogbase)[0X
  
  1 Introduction
    1.1 Philosophy
    1.2 Overview over this manual
  2 Installation of the [5Xrecogbase[0m-Package
  3 Method Selection
    3.1 What are methods?
      3.1-1 AddMethod
    3.2 How methods are called
      3.2-1 CallMethods
  4 Group Recognition
    4.1 The recursive procedure
      4.1-1 RecogniseGeneric
      4.1-2 RecognisePermGroup
      4.1-3 RecogniseMatrixGroup
      4.1-4 RecogniseProjectiveGroup
      4.1-5 RecogniseBBGroup
      4.1-6 RecogniseGroup
      4.1-7 FindHomDbPerm
      4.1-8 FindHomMethodsPerm
      4.1-9 SLPforElementFuncsPerm
      4.1-10 FindHomDbMatrix
      4.1-11 FindHomMethodsMatrix
      4.1-12 SLPforElementFuncsMatrix
      4.1-13 FindHomDbProjective
      4.1-14 FindHomMethodsProjective
      4.1-15 SLPforElementFuncsProjective
      4.1-16 FindHomDbBB
      4.1-17 FindHomMethodsBB
      4.1-18 SLPforElementFuncsBB
    4.2 Recognition info records
      4.2-1 RecognitionInfoFamily
      4.2-2 IsRecognitionInfo
      4.2-3 IsLeaf
      4.2-4 IsReady
      4.2-5 Grp
      4.2-6 Homom
      4.2-7 NiceGens
      4.2-8 pregensfac
      4.2-9 RIFac
      4.2-10 RIKer
      4.2-11 RIParent
      4.2-12 fhmethsel
      4.2-13 slpforelement
      4.2-14 SLPforElement
      4.2-15 StdPresentation
      4.2-16 methodsforfactor
      4.2-17 calcnicegens
      4.2-18 CalcNiceGensGeneric
      4.2-19 CalcNiceGensHomNode
      4.2-20 CalcNiceGens
      4.2-21 slptonice
      4.2-22 gensN
      4.2-23 findgensNmeth
      4.2-24 FindKernelRandom
      4.2-25 FindKernelDoNothing
      4.2-26 FindKernelFastNormalClosure
      4.2-27 gensNslp
      4.2-28 immediateverification
      4.2-29 forkernel
      4.2-30 forfactor
      4.2-31 isone
      4.2-32 isequal
      4.2-33 Other components of recognition info records
    4.3 Methods to find homomorphisms
      4.3-1 FindHomomorphism
      4.3-2 SLPforElementGeneric
    4.4 Conventions for the recognition of permutation groups
    4.5 Conventions for the recognition of matrix groups
    4.6 Conventions for the recognition of projective groups
    4.7 Conventions for the recognition of black box groups
  5 After successful recognition
    5.1 Functions and methods for recognition info records
      5.1-1 SLPforNiceGens
      5.1-2 \in
      5.1-3 Size
      5.1-4 DisplayCompositionFactors
  
  
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