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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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | 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| id |
admjournalluguniveduua-article-1022 |
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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 |
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Algebra and Discrete Mathematics |
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2018-04-26T01:41:11Z |
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OJS |
| language |
English |
| topic |
automaton group self-similar group contracting action self-similarity graph 20E08 20F65 68Q45 |
| 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 |
| topic_facet |
automaton group self-similar group contracting action self-similarity graph 20E08 20F65 68Q45 |
| format |
Article |
| author |
Davis, Nick Elder, Murray Reeves, Lawrence |
| author_facet |
Davis, Nick Elder, Murray Reeves, Lawrence |
| author_sort |
Davis, Nick |
| title |
Non-contracting groups generated by (3,2)-automata |
| title_short |
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_sort |
non-contracting groups generated by (3,2)-automata |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1022 |
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AT davisnick noncontractinggroupsgeneratedby32automata AT eldermurray noncontractinggroupsgeneratedby32automata AT reeveslawrence noncontractinggroupsgeneratedby32automata |
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2025-12-02T15:38:07Z |
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2025-12-02T15:38:07Z |
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