automgrp : a GAP 4 package - References
defcprime′
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S. V. Aleshin.
A free group of finite automata.
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Laurent Bartholdi.
A Wilson group of non-uniformly exponential growth.
C. R. Math. Acad. Sci. Paris, 336(7):549--554, 2003.
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Laurent Bartholdi and Rostislav I. Grigorchuk.
On parabolic subgroups and Hecke algebras of some fractal groups.
Serdica Math. J., 28(1):47--90, 2002.
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Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko, Yevgen Muntyan,
Volodymyr Nekrashevych, Dmytro Savchuk, and Zoran \vSunić.
Groups generated by 3-state automata over 2-letter alphabet, I,
2006.
(available at http://arxiv.org/abs/math.GR/0612178).
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Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko, Yevgen Muntyan,
Volodymyr Nekrashevych, Dmytro Savchuk, and Zoran \vSunić.
Groups generated by 3-state automata over 2-letter alphabet,
II, 2007.
(available at http://xxx.arxiv.org/abs/0704.3876).
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L. Bartholdi, Vadim Kaimanovich, V. Nekrashevych, and Bálint Virág.
Amenability of automata groups.
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Laurent I. Bartholdi and Volodymyr V. Nekrashevych.
Thurston equivalence of topological polynomials.
Acta Math., 197(1):1--51, 2006.
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Kai-Uwe Bux and Rodrigo Pérez.
On the growth of iterated monodromy groups.
In Topological and asymptotic aspects of group theory, volume
394 of Contemp. Math., pages 61--76. Amer. Math. Soc., Providence, RI,
2006.
(available at http://www.arxiv.org/abs/math.GR/0405456).
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L. Bartholdi, I. I. Reznykov, and V. I. Sushchansky.
The smallest Mealy automaton of intermediate growth.
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Ievgen Bondarenko and Dmytro Savchuk.
On Sushchansky p-groups, 2007.
(available at http://arxiv.org/abs/math/0612200).
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Laurent Bartholdi and Bálint Virág.
Amenability via random walks.
Duke Math. J., 130(1):39--56, 2005.
(available at http://arxiv.org/abs/math.GR/0305262).
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Anna Erschler.
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Annals of Math., 160(3):1183–--1210, 2004.
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Jacek Fabrykowski and Narain Gupta.
On groups with sub-exponential growth functions.
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Rostislav I. Grigorchuk, Peter Linnell, Thomas Schick, and Andrzej Zuk.
On a question of Atiyah.
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R. I. Grigorchuk, V. V. Nekrashevich, and V. I. Sushchanski\ui.
Automata, dynamical systems, and groups.
Tr. Mat. Inst. Steklova, 231(Din. Sist., Avtom. i Beskon.
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R. I. Grigor\vcuk.
On Burnside's problem on periodic groups.
Funktsional. Anal. i Prilozhen., 14(1):53--54, 1980.
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R. I. Grigorchuk.
Degrees of growth of finitely generated groups and the theory of
invariant means.
Izv. Akad. Nauk SSSR Ser. Mat., 48(5):939--985, 1984.
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Rostislav Grigorchuk.
Solved and unsolved problems around one group.
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Narain Gupta and Sa"id Sidki.
On the Burnside problem for periodic groups.
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Rostislav Grigorchuk and Zoran \vSuni&kacute;.
Asymptotic aspects of Schreier graphs and Hanoi Towers groups.
C. R. Math. Acad. Sci. Paris, 342(8):545--550, 2006.
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Rostislav Grigorchuk and Zoran \vSuni&kacute;.
Hanoi towers groups.
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Rostislav Grigorchuk, Dmytro Savchuk, and Zoran \vSunić.
The spectral problem, substitutions and iterated monodromy.
CRM Proceedings and Lecture Notes, 42(8):225--248, 2007.
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Rostislav I. Grigorchuk and Andrzej Zuk.
On a torsion-free weakly branch group defined by a three state
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Rostislav I. Grigorchuk and Andrzej Zuk.
Spectral properties of a torsion-free weakly branch group defined by
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In Computational and statistical group theory (Las Vegas,
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Volodymyr Nekrashevych.
A minimal Cantor set in the space of 3-generated groups.
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Said Sidki.
Automorphisms of one-rooted trees: growth, circuit structure, and
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V. I. Sushchansky.
Periodic permutation p-groups and the unrestricted Burnside
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M. Vorobets and Ya. Vorobets.
On a free group of transformations defined by an automaton, 2005.
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John S. Wilson.
On exponential growth and uniformly exponential growth for groups.
Invent. Math., 155(2):287--303, 2004.
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automgrp manual
September 2008