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: Fedorova, M., Oliynyk, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
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.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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