Non-contracting groups generated by (3,2)-automata
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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2014 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152338 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709247793430528 |
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| author | Davis, N. Elder, M. Reeves, L. |
| author_facet | Davis, N. Elder, M. Reeves, L. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T17:16:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152338 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:16:17Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Davis, N. Elder, M. Reeves, L. 2019-06-10T10:51:59Z 2019-06-10T10:51:59Z 2014 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. https://nasplib.isofts.kiev.ua/handle/123456789/152338 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. 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Non-contracting groups generated by (3,2)-automata Article published earlier |
| spellingShingle | Non-contracting groups generated by (3,2)-automata Davis, N. Elder, M. Reeves, L. |
| title | Non-contracting groups generated by (3,2)-automata |
| title_full | Non-contracting groups generated by (3,2)-automata |
| title_fullStr | Non-contracting groups generated by (3,2)-automata |
| title_full_unstemmed | Non-contracting groups generated by (3,2)-automata |
| title_short | Non-contracting groups generated by (3,2)-automata |
| title_sort | non-contracting groups generated by (3,2)-automata |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152338 |
| work_keys_str_mv | AT davisn noncontractinggroupsgeneratedby32automata AT elderm noncontractinggroupsgeneratedby32automata AT reevesl noncontractinggroupsgeneratedby32automata |