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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 86–102 (Mi adm22)  

This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

Finite groups as groups of automata with no cycles with exit

Andriy Russyev

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 60, Kyiv 01033
Full-text PDF (279 kB) Citations (4)
Abstract: 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.
Keywords: automaton, automaton group, finite group, wreath product.
Received: 22.09.2009
Revised: 18.05.2010
Bibliographic databases:
Document Type: Article
MSC: 20E08
Language: English
Citation: Andriy Russyev, “Finite groups as groups of automata with no cycles with exit”, Algebra Discrete Math., 9:1 (2010), 86–102
Citation in format AMSBIB
\Bibitem{Rus10}
\by Andriy Russyev
\paper Finite groups as groups of automata with no cycles with exit
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 1
\pages 86--102
\mathnet{http://mi.mathnet.ru/adm22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676714}
\zmath{https://zbmath.org/?q=an:1209.20026}
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  • https://www.mathnet.ru/eng/adm/v9/i1/p86
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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    Full-text PDF :102
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