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...
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| Datum: | 2018 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1022 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543178192060416 |
|---|---|
| author | Davis, Nick Elder, Murray Reeves, Lawrence |
| author_facet | Davis, Nick Elder, Murray Reeves, Lawrence |
| author_sort | Davis, Nick |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T01:41:11Z |
| 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. |
| first_indexed | 2025-12-02T15:38:07Z |
| format | Article |
| id | admjournalluguniveduua-article-1022 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:07Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10222018-04-26T01:41:11Z Non-contracting groups generated by (3,2)-automata Davis, Nick Elder, Murray Reeves, Lawrence automaton group, self-similar group, contracting action, self-similarity graph 20E08, 20F65, 68Q45 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1022 Algebra and Discrete Mathematics; Vol 17, No 1 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1022/546 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | automaton group self-similar group contracting action self-similarity graph 20E08 20F65 68Q45 Davis, Nick Elder, Murray Reeves, Lawrence Non-contracting groups generated by (3,2)-automata |
| 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 |
| topic | automaton group self-similar group contracting action self-similarity graph 20E08 20F65 68Q45 |
| topic_facet | automaton group self-similar group contracting action self-similarity graph 20E08 20F65 68Q45 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1022 |
| work_keys_str_mv | AT davisnick noncontractinggroupsgeneratedby32automata AT eldermurray noncontractinggroupsgeneratedby32automata AT reeveslawrence noncontractinggroupsgeneratedby32automata |