Finite automaton actions of free products of groups
It is shown that for groups \(G\) and \(H\) that act faithfully by finite state automorphisms on regular rooted trees their free product \(G*H\) admits a faithful action by finite state automorphisms on some regular rooted tree.
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| Datum: | 2017 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2017
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543036283027456 |
|---|---|
| author | Fedorova, Mariia Oliynyk, Andriy |
| author_facet | Fedorova, Mariia Oliynyk, Andriy |
| author_sort | Fedorova, Mariia |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2017-07-02T21:58:40Z |
| description | It is shown that for groups \(G\) and \(H\) that act faithfully by finite state automorphisms on regular rooted trees their free product \(G*H\) admits a faithful action by finite state automorphisms on some regular rooted tree. |
| first_indexed | 2025-12-02T15:40:25Z |
| format | Article |
| id | admjournalluguniveduua-article-477 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:25Z |
| publishDate | 2017 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-4772017-07-02T21:58:40Z Finite automaton actions of free products of groups Fedorova, Mariia Oliynyk, Andriy rooted tree; tree automorphism; finite automaton; free product 20E08; 20E06; 20F65 It is shown that for groups \(G\) and \(H\) that act faithfully by finite state automorphisms on regular rooted trees their free product \(G*H\) admits a faithful action by finite state automorphisms on some regular rooted tree. Lugansk National Taras Shevchenko University 2017-07-03 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477 Algebra and Discrete Mathematics; Vol 23, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477/pdf Copyright (c) 2017 Algebra and Discrete Mathematics |
| spellingShingle | rooted tree tree automorphism finite automaton free product 20E08 20E06 20F65 Fedorova, Mariia Oliynyk, Andriy Finite automaton actions of free products of groups |
| title | Finite automaton actions of free products of groups |
| title_full | Finite automaton actions of free products of groups |
| title_fullStr | Finite automaton actions of free products of groups |
| title_full_unstemmed | Finite automaton actions of free products of groups |
| title_short | Finite automaton actions of free products of groups |
| title_sort | finite automaton actions of free products of groups |
| topic | rooted tree tree automorphism finite automaton free product 20E08 20E06 20F65 |
| topic_facet | rooted tree tree automorphism finite automaton free product 20E08 20E06 20F65 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477 |
| work_keys_str_mv | AT fedorovamariia finiteautomatonactionsoffreeproductsofgroups AT oliynykandriy finiteautomatonactionsoffreeproductsofgroups |