Finite automaton actions of free products of groups

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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Bibliographic Details
Date:2017
Main Authors: Fedorova, Mariia, Oliynyk, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
Subjects:
rooted tree
tree automorphism
finite automaton
free product
20E08
20E06
20F65
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-477
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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2017-07-02T21:58:40Z
collection OJS
language English
topic rooted tree
tree automorphism
finite automaton
free product
20E08
20E06
20F65
spellingShingle rooted tree
tree automorphism
finite automaton
free product
20E08
20E06
20F65
Fedorova, Mariia
Oliynyk, Andriy
Finite automaton actions of free products of groups
topic_facet rooted tree
tree automorphism
finite automaton
free product
20E08
20E06
20F65
format Article
author Fedorova, Mariia
Oliynyk, Andriy
author_facet Fedorova, Mariia
Oliynyk, Andriy
author_sort Fedorova, Mariia
title Finite automaton actions of free products of groups
title_short 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_sort finite automaton actions of free products of groups
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2017
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/477
work_keys_str_mv AT fedorovamariia finiteautomatonactionsoffreeproductsofgroups
AT oliynykandriy finiteautomatonactionsoffreeproductsofgroups
first_indexed 2025-12-02T15:40:25Z
last_indexed 2025-12-02T15:40:25Z
_version_ 1850412163928162304

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