Non-contracting groups generated by (3,2)-automata
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Non-contracting groups generated by (3,2)-automata
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| Creator |
Davis, N.
Elder, M. Reeves, L. |
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| Description |
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.
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| Date |
2019-06-10T10:51:59Z
2019-06-10T10:51:59Z 2014 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:20E08, 20F65, 68Q45. http://dspace.nbuv.gov.ua/handle/123456789/152338 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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