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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Видавець: | Lugansk National Taras Shevchenko University |
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Дата: | 2018 |
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Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/970 |
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oai:ojs.admjournal.luguniv.edu.ua: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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English |
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spellingShingle |
Bondarenko, E. Nekrashevych, V. Post-critically finite self-similar groups |
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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 |
work_keys_str_mv |
AT bondarenkoe postcriticallyfiniteselfsimilargroups AT nekrashevychv postcriticallyfiniteselfsimilargroups |
first_indexed |
2024-04-12T06:25:31Z |
last_indexed |
2024-04-12T06:25:31Z |
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1796109241840304128 |