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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156019 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Finite automaton actions of free products of groups / M. Fedorova, A. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 230-236. — Бібліогр.: 4 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862554696242167808 |
|---|---|
| author | Fedorova, M. Oliynyk, A. |
| author_facet | Fedorova, M. Oliynyk, A. |
| citation_txt | Finite automaton actions of free products of groups / M. Fedorova, A. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 230-236. — Бібліогр.: 4 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-11-25T22:12:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156019 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:12:41Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Fedorova, M. Oliynyk, A. 2019-06-17T18:54:50Z 2019-06-17T18:54:50Z 2017 Finite automaton actions of free products of groups / M. Fedorova, A. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 230-236. — Бібліогр.: 4 назв. — англ. 1726-3255 2010 MSC:20E08, 20E06, 20F65. https://nasplib.isofts.kiev.ua/handle/123456789/156019 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Finite automaton actions of free products of groups Article published earlier |
| spellingShingle | Finite automaton actions of free products of groups Fedorova, M. Oliynyk, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156019 |
| work_keys_str_mv | AT fedorovam finiteautomatonactionsoffreeproductsofgroups AT oliynyka finiteautomatonactionsoffreeproductsofgroups |