$Id: frbib.xml,v 1.4 2008/12/02 12:04:32 gap Exp $
S. V.
Aleshin

# A free group of finite automata

Vestnik Moskov. Univ. Ser. I Mat. Mekh.
1983
4
12-14
0201-7385
MR713968 (84j:68035)
68D30 (20E05)
Boris M. Schein
Вестник Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
Laurent
Bartholdi

# A Wilson group of non-uniformly exponential growth

C. R. Math. Acad. Sci. Paris
2003
336
7
549--554
1631-073X
MR1981466 (2004c:20051)
20F05
Stephen P. Humphries
Comptes Rendus Mathématique. Académie des Sciences. Paris
Laurent
Bartholdi
Bálint
Virág

# Amenability via random walks

Duke Math. J.
2005
130
1
39--56
0012-7094
MR2176547 (2006h:43001)
43A07 (20P05 60G50)
Vydas Čekanavičius
DUMJAO
Duke Mathematical Journal
Laurent
Bartholdi
Rostislav
Grigorchuk
Volodymyr
Nekrashevych

# From fractal groups to fractal sets

Fractals in Graz 2001
Birkhäuser
2003
Trends Math.
25--118

    Basel

MR2091700 (2005h:20056)
20E08 (05B45 20F65 28A80 37F50)
Richard Kenyon
Laurent
Bartholdi
Rostislav I.
Grigorchuk
Zoran
Šuniḱ

# Branch groups

Handbook of algebra, Vol. 3
North-Holland
2003
989--1112

    Amsterdam

MR2035113 (2005f:20046)
20E08 (05C25 20F10 20F65 22D10 37B05 43A07 68Q70)
Tullio G. Ceccherini-Silberstein
Laurent
Bartholdi
Zoran
Šuniḱ

# On the word and period growth of some groups of tree automorphisms

Comm. Algebra
2001
29
11
4923--4964
0092-7872
MR1856923 (2002i:20040)
20E08 (05C25 20F65)
S. Andreadakis
COALDM
Communications in Algebra
Laurent
Bartholdi

# Endomorphic presentations of branch groups

J. Algebra
2003
268
2
419--443
0021-8693
MR2009317 (2004h:20044)
20F05
Ilya Kapovich
JALGA4
Journal of Algebra
Laurent
Bartholdi
Rostislav I.
Grigorchuk

# On parabolic subgroups and Hecke algebras of some fractal groups

Serdica Math. J.
2002
28
1
47--90
1310-6600
MR1899368 (2003c:20027)
20E08 (20C08)
S. Andreadakis
Serdica. Mathematical Journal. Serdika. Matematichesko Spisanie
L.
Bartholdi
I. I.
Reznykov
V. I.
Sushchansky

# The smallest Mealy automaton of intermediate growth

J. Algebra
2006
295
2
387--414
0021-8693
MR2194959 (2006i:68060)
68Q45 (20M35 68Q70)
K. G. Peeva
JALGA4
Journal of Algebra
Laurent
Bartholdi
Illya I.
Reznykov

# A Mealy machine of growth n^{2.4401}

arXiv:math.GR/0506203

2005
Gilbert
Baumslag
Donald
Solitar

# Some two-generator one-relator non-Hopfian groups

Bull. Amer. Math. Soc.
1962
68
199--201
MR0142635 (26 #204)
20.99
B. H. Neumann
Paolo
Bellingeri

# On presentations of surface braid groups

J. Algebra
2004
274
2
543--563
0021-8693
MR2043362 (2005a:20052)
20F36
Darren D. Long
JALGA4
Journal of Algebra
Ben
Bielefeld
Yuval
Fisher
John
Hubbard

# The classification of critically preperiodic polynomials as dynamical systems

J. Amer. Math. Soc.
1992
5
4
721--762
0894-0347
MR1149891 (93h:58128)
58F23 (30D05)
Feliks Przytycki
Journal of the American Mathematical Society
A. M.
Brunner
Said
Sidki
Ana Cristina
Vieira

# A just nonsolvable torsion-free group defined on the binary tree

J. Algebra
1999
211
1
99--114
0021-8693
MR1656573 (99m:20054)
20E08
Olympia Talelli
JALGA4
Journal of Algebra
Ruth
Charney

# Geodesic automation and growth functions for Artin groups of finite type

Math. Ann.
1995
301
2
307--324
0025-5831
MR1314589 (95k:20055)
20F32 (20F10 20F36)
Susan Hermiller
MAANA
Mathematische Annalen
François
Dahmani

# An example of non-contracting weakly branch automaton group

Geometric methods in group theory
Amer. Math. Soc.
2005
372
Contemp. Math.
219--224

    Providence, RI

MR2140091 (2006b:20037)
20E08
Laurent Bartholdi
A.
Douady
J. H.
Hubbard

# Étude dynamique des polynômes complexes. Partie I

Université de Paris-Sud, Département de Mathématiques, Orsay
1984
84
Publications Mathématiques d'Orsay [Mathematical Publications of Orsay]
MR762431 (87f:58072a)
58F08 (30D05 39B10)
M. Rees
75
A.
Douady
J. H.
Hubbard

# Étude dynamique des polynômes complexes. Partie II

Université de Paris-Sud, Département de Mathématiques, Orsay
1985
85
Publications Mathématiques d'Orsay [Mathematical Publications of Orsay]

With the collaboration of P. Lavaurs, Tan Lei and P. Sentenac

MR812271 (87f:58072b)
58F08 (30D05 39B10)
M. Rees
v+154
Bettina
Eick
René
Hartung

# A nilpotent quotient algorithm for L-presented groups

submitted

2007
Anna
Erschler

# Boundary behavior for groups of subexponential growth

Ann. of Math. (2)
2004
160
3
1183--1210
0003-486X
MR2144977 (2006d:20072)
20F65 (20F05 20P05 60G50)
Anders Karlsson
ANMAAH
Annals of Mathematics. Second Series
Jacek
Fabrykowski
Narain
Gupta

# On groups with sub-exponential growth functions. II

J. Indian Math. Soc. (N.S.)
1991
56
1-4
217--228
0019-5839
MR1153150 (93g:20053)
20E99 (20F05 20F19)
Martha K. Smith
JIMTA2
The Journal of the Indian Mathematical Society. New Series
Jacek
Fabrykowski
Narain
Gupta

# On groups with sub-exponential growth functions

J. Indian Math. Soc. (N.S.)
1985
49
3-4
249--256 (1987)
0019-5839
MR942349 (90e:20029)
20E99 (20F05 20F19)
Martha K. Smith
JIMTA2
The Journal of the Indian Mathematical Society. New Series
R. I.
Grigorčuk

# On Burnside's problem on periodic groups

Funktsional. Anal. i Prilozhen.
1980
14
1
53--54
0374-1990
MR565099 (81m:20045)
20F05
N. S. Chernikov
Akademiya Nauk SSSR. Funktsional'nyĭ Analiz i ego Prilozheniya
R. I.
Grigorchuk

# Degrees of growth of finitely generated groups and the theory of invariant means

Izv. Akad. Nauk SSSR Ser. Mat.
1984
48
5
939--985
0373-2436
MR764305 (86h:20041)
20F05 (43A07)
P. Gerl
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
Rostislav I.
Grigorchuk
Andrzej
Żuk

# On a torsion-free weakly branch group defined by a three state automaton

Internat. J. Algebra Comput.
2002
12
1-2
223--246

International Conference on Geometric and Combinatorial Methods in Group Theory and Semigroup Theory (Lincoln, NE, 2000)

0218-1967
MR1902367 (2003c:20048)
20F69 (20E08 68Q70)
Laurent Bartholdi
International Journal of Algebra and Computation
Rostislav
Grigorchuk
Zoran
Šuniḱ

# Asymptotic aspects of Schreier graphs and Hanoi Towers groups

C. R. Math. Acad. Sci. Paris
2006
342
8
545--550
1631-073X
MR2217913
20E08
Comptes Rendus Mathématique. Académie des Sciences. Paris
Rostislav I.
Grigorchuk
Andrzej
Żuk

# On a torsion-free weakly branch group defined by a three state automaton

Internat. J. Algebra Comput.
2002
12
1-2
223--246

International Conference on Geometric and Combinatorial Methods in Group Theory and Semigroup Theory (Lincoln, NE, 2000)

0218-1967
MR1902367 (2003c:20048)
20F69 (20E08 68Q70)
Laurent Bartholdi
International Journal of Algebra and Computation
I. G.
Lysënok

# A set of defining relations for the Grigorchuk group

Mat. Zametki
1985
38
4
503--516, 634
0025-567X
MR819415 (87g:20062)
20F05
J. Mennicke
Akademiya Nauk SSSR. Matematicheskie Zametki
Narain
Gupta
Saïd
Sidki

# On the Burnside problem for periodic groups

Math. Z.
1983
182
3
385--388
0025-5874
MR696534 (84g:20075)
20F50
Seymour Bachmuth
MAZEAX
Mathematische Zeitschrift
Russell
Lyons
Robin
Pemantle
Yuval
Peres

# Random walks on the lamplighter group

Ann. Probab.
1996
24
4
1993--2006
0091-1798
MR1415237 (97j:60014)
60B15 (60J15)
Donald I. Cartwright
APBYAE
The Annals of Probability
O.
Macedońska
V.
Nekrashevych
V.
Sushchansky

# Commensurators of groups and reversible automata

Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki
2000
12
36--39
1025-6415
MR1841119
20E26 (68Q70)
Dopovīpdī Natsīonal'noï Akademīï Nauk Ukraïni. Matematika. Prirodoznavstvo. Tekhnīchnī Nauki
M. J.
Mamaghani

# A class of two generated automaton groups on a three letter alphabet

Bull. Iranian Math. Soc.
2004
30
1
31--51, 92
1017-060X
MR2130844 (2005m:20062)
20E08 (68Q70)
Laurent Bartholdi
Iranian Mathematical Society. Bulletin
M. J.
Mamaghani

# A fractal non-contracting class of automata groups

Bull. Iranian Math. Soc.
2003
29
2
51--64, 92
1017-060X
MR2139928 (2006c:20055)
20E08 (20F65)
Olympia Talelli
Iranian Mathematical Society. Bulletin
Volodymyr
Nekrashevych

# Self-similar groups

American Mathematical Society
2005
117
Mathematical Surveys and Monographs

    Providence, RI

0-8218-3831-8
MR2162164 (2006e:20047)
20E08 (20F65 37B15 37F10)
Laurent Bartholdi
xii+231
Peter M.
Neumann

# Some questions of Edjvet and Pride about infinite groups

Illinois J. Math.
1986
30
2
301--316
0019-2082
MR840129 (88a:20039)
20E15 (20E22)
John S. Wilson
IJMTAW
Illinois Journal of Mathematics
Alfredo
Poirier

# On postcritically finite polynomials, part 1: critical portraits

Stony Brook IMS 1993/5
arXiv:math.DS/9305207
P. V.
Silva
B.
Steinberg

# On a class of automata groups generalizing lamplighter groups

Internat. J. Algebra Comput.
2005
15
5-6
1213--1234
0218-1967
MR2197829
20F65 (68Q70)
International Journal of Algebra and Computation
Benjamin
Steinberg
Mariya
Vorobets
Yaroslav
Vorobets

# Automata over a binary alphabet generating free groups of even rank

arXiv:math.GR/0610033

2006
Dau Truong
Tan

# Quadratische Morphismen

Diplomarbeit at ETHZ, under the supervision of R. Pink

2002
Mariya
Vorobets
Yaroslav
Vorobets

# On a series of finite automata defining free transformation groups

arXiv:math.GR/0604328

2006
Roland
Bacher

# Determinants related to binomial coefficients modulo 2 and 4

arXiv:math/0708.1430

2007
Marc
Burger
Shahar
Mozes

# Groups acting on trees: from local to global structure

Inst. Hautes Études Sci. Publ. Math.
2000
92
113--150 (2001)
0073-8301
MR1839488 (2002i:20041)
20E08
Alexander Lubotzky
PMIHA6
Institut des Hautes Études Scientifiques. Publications Mathématiques
Marc
Burger
Shahar
Mozes

# Lattices in product of trees

Inst. Hautes Études Sci. Publ. Math.
2000
92
151--194 (2001)
0073-8301
MR1839489 (2002i:20042)
20E08 (22E40)
Alexander Lubotzky
PMIHA6
Institut des Hautes Études Scientifiques. Publications Mathématiques
Yair
Glasner
Shahar
Mozes

# Automata and square complexes

Geom. Dedicata
2005
111
43--64
0046-5755
MR2155175 (2006g:20112)
20M35 (20E08 20F05 37B10 37B15)
Alain Valette
GEMDAT
Geometriae Dedicata
Zoran
Šunić

# Hausdorff dimension in a family of self-similar groups

Geom. Dedicata
2007
124
213--236
0046-5755
MR2318546
20E08 (20E18 20F50 20F69)
GEMDAT
Geometriae Dedicata
John
von Neumann

# Zur allgemeinen Theorie des Masses

Fund. Math.
1929
13
73--116 and 333

(= Collected works, vol. I, pages 599--643)

Marc
Burger
Shahar
Mozes

# Finitely presented simple groups and products of trees

C. R. Acad. Sci. Paris Sér. I Math.
1997
324
7
747--752
0764-4442
MR1446574 (98g:20041)
20E08 (20E32)
Olympia Talelli
CASMEI
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique
Said
Sidki

# Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity

J. Math. Sci. (New York)
2000
100
1
1925--1943

Algebra, 12

1072-3374
MR1774362 (2002g:05100)
05C25 (05C45 68Q45)
JMTSEW
Journal of Mathematical Sciences (New York)
Said
Sidki
J. S.
Wilson

# Free subgroups of branch groups

Arch. Math. (Basel)
2003
80
5
458--463
0003-889X
MR1995624 (2004g:20038)
20E08 (20E22)
Vincent Guirardel
ACVMAL
Archiv der Mathematik
Said
Sidki

# Tree-wreathing applied to generation of groups by finite automata

Internat. J. Algebra Comput.
2005
15
5-6
1205--1212
0218-1967
MR2197828 (2007f:20048)
20E08 (20E22 20F10)
Armando Martino
International Journal of Algebra and Computation
I. P.
Shestakov
E.
Zelmanov

# Some examples of nil Lie algebras

J. Eur. Math. Soc. (JEMS)
2008
10
2
391--398
1435-9855
MR2390328
17B65
Journal of the European Mathematical Society (JEMS)
V. M.
Petrogradsky

# Examples of self-iterating Lie algebras

J. Algebra
2006
302
2
881--886
0021-8693
MR2293788 (2008b:17029)
17B50 (17B40)
Marin{\^e}s Guerreiro
JALGA4
Journal of Algebra