Post-critically finite self-similar groups
We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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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/970 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-970 |
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admjournalluguniveduua-article-9702018-05-14T07:18:11Z Post-critically finite self-similar groups Bondarenko, E. Nekrashevych, V. We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting. Lugansk National Taras Shevchenko University 2018-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/970 Algebra and Discrete Mathematics; Vol 2, No 4 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/970/499 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-05-14T07:18:11Z |
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OJS |
| language |
English |
| topic |
|
| spellingShingle |
Bondarenko, E. Nekrashevych, V. Post-critically finite self-similar groups |
| topic_facet |
|
| format |
Article |
| author |
Bondarenko, E. Nekrashevych, V. |
| author_facet |
Bondarenko, E. Nekrashevych, V. |
| author_sort |
Bondarenko, E. |
| title |
Post-critically finite self-similar groups |
| title_short |
Post-critically finite self-similar groups |
| title_full |
Post-critically finite self-similar groups |
| title_fullStr |
Post-critically finite self-similar groups |
| title_full_unstemmed |
Post-critically finite self-similar groups |
| title_sort |
post-critically finite self-similar groups |
| description |
We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/970 |
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AT bondarenkoe postcriticallyfiniteselfsimilargroups AT nekrashevychv postcriticallyfiniteselfsimilargroups |
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2025-12-02T15:43:45Z |
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2025-12-02T15:43:45Z |
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1850411817721921536 |