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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}
Linking options:
  • https://www.mathnet.ru/eng/adm22
  • https://www.mathnet.ru/eng/adm/v9/i1/p86
    • This publication is cited in the following 4 articles:
    1. Bartholdi L., Godin T., Klimann I., Nous C., Picantin M., “a New Hierarchy For Automaton Semigroups”, Int. J. Found. Comput. Sci., 31:8, SI (2020), 1069–1089  crossref  mathscinet  isi  scopus
    2. Thiagarajan K. Balasubramanian P. Padmashree J., Proceedings of the 10Th National Conference on Mathematical Techniques and Its Applications (Ncmta 18), Journal of Physics Conference Series, 1000, ed. Govindarajan A. Siva E. Suja K., IOP Publishing Ltd, 2018  crossref  isi  scopus
    3. Klimann I., Picantin M., “a Characterization of Those Automata That Structurally Generate Finite Groups”, Latin 2014: Theoretical Informatics, Lecture Notes in Computer Science, 8392, eds. Pardo A., Viola A., Springer-Verlag Berlin, 2014, 180–189  crossref  mathscinet  zmath  isi  scopus
    4. Akhavi A. Klimann I. Lombardy S. Mairesse J. Picantin M., “On the Finiteness Problem for Automaton (Semi) Groups”, Int. J. Algebr. Comput., 22:6 (2012), 1250052  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:283
    Full-text PDF :118
    References:5
    First page:1
     
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