Finite groups as groups of automata with no cycles with exit

Representations of finite groups as automata groups over a binary alphabet are investigated. The subclass of groups of automata with no cycles with exit is studied.

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Bibliographic Details
Date:2018
Main Author: Russyev, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/624
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Russyev, Andriy
author_facet Russyev, Andriy
author_sort Russyev, Andriy
baseUrl_str
collection OJS
datestamp_date 2018-04-04T08:18:32Z
description Representations of finite groups as automata groups over a binary alphabet are investigated. The subclass of groups of automata with no cycles with exit is studied.
first_indexed 2026-02-08T07:57:56Z
format Article
id admjournalluguniveduua-article-624
institution Algebra and Discrete Mathematics
language English
last_indexed 2026-02-08T07:57:56Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-6242018-04-04T08:18:32Z Finite groups as groups of automata with no cycles with exit Russyev, Andriy automaton, automaton group, finite group, wreath product 20E08 Representations of finite groups as automata groups over a binary alphabet are investigated. The subclass of groups of automata with no cycles with exit is studied. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/624 Algebra and Discrete Mathematics; Vol 9, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/624/159 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle automaton
automaton group
finite group
wreath product
20E08
Russyev, Andriy
Finite groups as groups of automata with no cycles with exit
title Finite groups as groups of automata with no cycles with exit
title_full Finite groups as groups of automata with no cycles with exit
title_fullStr Finite groups as groups of automata with no cycles with exit
title_full_unstemmed Finite groups as groups of automata with no cycles with exit
title_short Finite groups as groups of automata with no cycles with exit
title_sort finite groups as groups of automata with no cycles with exit
topic automaton
automaton group
finite group
wreath product
20E08
topic_facet automaton
automaton group
finite group
wreath product
20E08
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/624
work_keys_str_mv AT russyevandriy finitegroupsasgroupsofautomatawithnocycleswithexit