<html><head><title>automgrp : a GAP 4 package - References</title></head>
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<h1><font face="Gill Sans,Helvetica,Arial">automgrp</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - References</h1><dl>
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<dt><a name="AKL"><b>[AKL]</b></a><dd>
Ali Akhavi, Ines Klimann, Sylvain Lombardy, Jean Mairesse, and Matthieu
Picantin.
<br> On the finiteness problem for automaton (semi)groups.
<br> <em>Internat. J. Algebra Comput.</em>, 22(6):1250052, 26, 2012.
<dt><a name="Ale83"><b>[Ale83]</b></a><dd>
S. V. Aleshin.
<br> A free group of finite automata.
<br> <em>Vestnik Moskov. Univ. Ser. I Mat. Mekh.</em>, (4):12--14, 1983.
<dt><a name="Bar03"><b>[Bar03]</b></a><dd>
Laurent Bartholdi.
<br> A Wilson group of non-uniformly exponential growth.
<br> <em>C. R. Math. Acad. Sci. Paris</em>, 336(7):549--554, 2003.
<dt><a name="BG02"><b>[BG02]</b></a><dd>
Laurent Bartholdi and Rostislav I. Grigorchuk.
<br> On parabolic subgroups and Hecke algebras of some fractal groups.
<br> <em>Serdica Math. J.</em>, 28(1):47--90, 2002.
<dt><a name="BGK32"><b>[BGK32]</b></a><dd>
I. Bondarenko, R. Grigorchuk, R. Kravchenko, Y. Muntyan, V. Nekrashevych,
D. Savchuk, and Z. \vSunić.
<br> Classification of groups generated by 3-state automata over
2-letter alphabet.
<br> <em>Algebra Discrete Math.</em>, (1):1--163, 2008.
<dt><a name="BGK07"><b>[BGK07]</b></a><dd>
I. Bondarenko, R. Grigorchuk, R. Kravchenko, Y. Muntyan, V. Nekrashevych,
D. Savchuk, and Z. \vSunić.
<br> Groups generated by 3-state automata over a 2-letter alphabet. II.
<br> <em>J. Math. Sci. (N. Y.)</em>, 156(1):187--208, 2009.
<br> Functional analysis.
<dt><a name="BKNV05"><b>[BKNV05]</b></a><dd>
Laurent Bartholdi, Vadim Kaimanovich, and Volodymyr Nekrashevych.
<br> On amenability of automata groups.
<br> <em>Duke Mathematical Journal</em>, 154(3):575--598, 2010.
<dt><a name="BN06"><b>[BN06]</b></a><dd>
Laurent I. Bartholdi and Volodymyr V. Nekrashevych.
<br> Thurston equivalence of topological polynomials.
<br> <em>Acta Math.</em>, 197(1):1--51, 2006.
<dt><a name="BP06"><b>[BP06]</b></a><dd>
Kai-Uwe Bux and Rodrigo Pérez.
<br> On the growth of iterated monodromy groups.
<br> In <em>Topological and asymptotic aspects of group theory</em>, volume
394 of <em>Contemp. Math.</em>, pages 61--76. Amer. Math. Soc., Providence, RI,
2006.
<br> (available at https://arxiv.org/abs/math/0405456).
<dt><a name="BRS06"><b>[BRS06]</b></a><dd>
L. Bartholdi, I. I. Reznykov, and V. I. Sushchansky.
<br> The smallest Mealy automaton of intermediate growth.
<br> <em>J. Algebra</em>, 295(2):387--414, 2006.
<dt><a name="BS07"><b>[BS07]</b></a><dd>
Ievgen V. Bondarenko and Dmytro M. Savchuk.
<br> On Sushchansky <i>p</i>-groups.
<br> <em>Algebra Discrete Math.</em>, (2):22--42, 2007.
<dt><a name="BV05"><b>[BV05]</b></a><dd>
Laurent Bartholdi and Bálint Virág.
<br> Amenability via random walks.
<br> <em>Duke Math. J.</em>, 130(1):39--56, 2005.
<br> (available at https://arxiv.org/abs/math/0305262).
<dt><a name="Ers04"><b>[Ers04]</b></a><dd>
Anna Erschler.
<br> Boundary behavior for groups of subexponential growth.
<br> <em>Annals of Math.</em>, 160(3):1183--1210, 2004.
<dt><a name="FG85"><b>[FG85]</b></a><dd>
Jacek Fabrykowski and Narain Gupta.
<br> On groups with sub-exponential growth functions.
<br> <em>J. Indian Math. Soc. (N.S.)</em>, 49(3-4):249--256 (1987), 1985.
<dt><a name="GLSZ00"><b>[GLSZ00]</b></a><dd>
Rostislav I. Grigorchuk, Peter Linnell, Thomas Schick, and Andrzej Zuk.
<br> On a question of Atiyah.
<br> <em>C. R. Acad. Sci. Paris Sér. I Math.</em>, 331(9):663--668, 2000.
<dt><a name="GNS00"><b>[GNS00]</b></a><dd>
R. I. Grigorchuk, V. V. Nekrashevich, and V. I. Sushchanski\ui.
<br> Automata, dynamical systems, and groups.
<br> <em>Tr. Mat. Inst. Steklova</em>, 231(Din. Sist., Avtom. i Beskon.
Gruppy):134--214, 2000.
<dt><a name="Gri80"><b>[Gri80]</b></a><dd>
R. I. Grigor\vcuk.
<br> On Burnside's problem on periodic groups.
<br> <em>Funktsional. Anal. i Prilozhen.</em>, 14(1):53--54, 1980.
<dt><a name="Gri84"><b>[Gri84]</b></a><dd>
R. I. Grigorchuk.
<br> Degrees of growth of finitely generated groups and the theory of
invariant means.
<br> <em>Izv. Akad. Nauk SSSR Ser. Mat.</em>, 48(5):939--985, 1984.
<dt><a name="Gri05"><b>[Gri05]</b></a><dd>
Rostislav Grigorchuk.
<br> Solved and unsolved problems around one group.
<br> In <em>Infinite groups: geometric, combinatorial and dynamical
aspects</em>, volume 248 of <em>Progr. Math.</em>, pages 117--218. Birkh"auser,
Basel, 2005.
<dt><a name="GS83"><b>[GS83]</b></a><dd>
Narain Gupta and Sa"id Sidki.
<br> On the Burnside problem for periodic groups.
<br> <em>Math. Z.</em>, 182(3):385--388, 1983.
<dt><a name="GS06a"><b>[GS06a]</b></a><dd>
Rostislav Grigorchuk and Zoran \vSuni&kacute;.
<br> Asymptotic aspects of Schreier graphs and Hanoi Towers groups.
<br> <em>C. R. Math. Acad. Sci. Paris</em>, 342(8):545--550, 2006.
<dt><a name="GS06b"><b>[GS06b]</b></a><dd>
Rostislav Grigorchuk and Zoran \vSunić.
<br> Schreier spectrum of the Hanoi Towers group on three pegs.
<br> In <em>Analysis on graphs and its applications</em>, volume 77 of <em>
Proc. Sympos. Pure Math.</em>, pages 183--198. Amer. Math. Soc., Providence, RI,
2008.
<dt><a name="GSESS"><b>[GSESS]</b></a><dd>
Rostislav Grigorchuk and Dmytro Savchuk.
<br> Self-similar groups acting essentially freely on the boundary of the
binary rooted tree.
<br> In <em>Group Theory, Combinatorics, and Computing</em>, volume 611 of
<em>Contemp. Math.</em> Amer. Math. Soc., Providence, RI, 2014.
<dt><a name="GSS07"><b>[GSS07]</b></a><dd>
Rostislav Grigorchuk, Dmytro Savchuk, and Zoran \vSunić.
<br> The spectral problem, substitutions and iterated monodromy.
<br> <em>CRM Proceedings and Lecture Notes</em>, 42(8):225--248, 2007.
<dt><a name="GZ02a"><b>[GZ02a]</b></a><dd>
Rostislav I. Grigorchuk and Andrzej Zuk.
<br> On a torsion-free weakly branch group defined by a three state
automaton.
<br> <em>Internat. J. Algebra Comput.</em>, 12(1-2):223--246, 2002.
<dt><a name="GZ02b"><b>[GZ02b]</b></a><dd>
Rostislav I. Grigorchuk and Andrzej Zuk.
<br> Spectral properties of a torsion-free weakly branch group defined by
a three state automaton.
<br> In <em>Computational and statistical group theory (Las Vegas,
NV/Hoboken, NJ, 2001)</em>, volume 298 of <em>Contemp. Math.</em>, pages 57--82.
Amer. Math. Soc., Providence, RI, 2002.
<dt><a name="KLI"><b>[KLI]</b></a><dd>
Ines Klimann.
<br> The finiteness of a group generated by a 2-letter
invertible-reversible Mealy automaton is decidable.
<br> In Natacha Portier and Thomas Wilke, editors, <em>30th International
Symposium on Theoretical Aspects of Computer Science (STACS 2013)</em>, volume 20
of <em>Leibniz International Proceedings in Informatics (LIPIcs)</em>, pages
502--513, Dagstuhl, Germany, 2013. Schloss Dagstuhl--Leibniz-Zentrum fuer
Informatik.
<dt><a name="Nek07"><b>[Nek07]</b></a><dd>
Volodymyr Nekrashevych.
<br> A minimal Cantor set in the space of 3-generated groups.
<br> <em>Geom. Dedicata</em>, 124:153--190, 2007.
<dt><a name="Sid00"><b>[Sid00]</b></a><dd>
Said Sidki.
<br> Automorphisms of one-rooted trees: growth, circuit structure, and
acyclicity.
<br> <em>J. Math. Sci. (New York)</em>, 100(1):1925--1943, 2000.
<dt><a name="Sus79"><b>[Sus79]</b></a><dd>
V. I. Sushchansky.
<br> Periodic permutation <i>p</i>-groups and the unrestricted Burnside
problem.
<br> <em>DAN SSSR.</em>, 247(3):557--562, 1979.
<br> (in Russian).
<dt><a name="VV05"><b>[VV05]</b></a><dd>
Mariya Vorobets and Yaroslav Vorobets.
<br> On a free group of transformations defined by an automaton.
<br> <em>Geom. Dedicata</em>, 124:237--249, 2007.
<dt><a name="Wil04"><b>[Wil04]</b></a><dd>
John S. Wilson.
<br> On exponential growth and uniformly exponential growth for groups.
<br> <em>Invent. Math.</em>, 155(2):287--303, 2004.
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