Non-contracting groups generated by (3,2)-automata

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Фізико-технічні та математичні науки
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Відділення математики
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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2014, Vol. 17, Vol. 18
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Algebra and Discrete Mathematics, 2014, Vol. 17, № 1
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dc.contributor.author	Davis, N.
dc.contributor.author	Elder, M.
dc.contributor.author	Reeves, L.
dc.date.accessioned	2019-06-10T10:51:59Z
dc.date.available	2019-06-10T10:51:59Z
dc.date.issued	2014
dc.identifier.citation	Non-contracting groups generated by (3,2)-automata / N. Davis, M. Elder, L. Reeves // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 20–32. — Бібліогр.: 4 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:20E08, 20F65, 68Q45.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/152338
dc.description.abstract	We add to the classification of groups generated by 3-state automata over a 2-letter alphabet given by Bondarenko et al., by showing that a number of the groups in the classification are non-contracting. We show that the criterion we use to prove a self-similar action is non-contracting also implies that the associated self-similarity graph introduced by Nekrashevych is non-hyperbolic.	uk_UA
dc.description.sponsorship	The first author was supported by an Australian Postgraduate Award. The second and third authors are supported by Australian Research Council grants FT110100178, DP120100996 and DP1096912.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Non-contracting groups generated by (3,2)-automata	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA