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Algebra and Discrete Mathematics, 2003, Issue 4, Pages 21–32 (Mi adm390)  
This article is cited in 11 scientific papers (total in 11 papers)

RESEARCH ARTICLE

Post-critically finite self-similar groups

E. Bondarenko, V. Nekrashevycha

a Kyiv Taras Shevchenko University Mechanics and Mathematics Faculty Algebra Department Volodymyrska, 60,  Kyiv, Ukraine, 01033
Full-text PDF (232 kB) Citations (11)
Abstract: We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting.
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. Bondarenko, V. Nekrashevych, “Post-critically finite self-similar groups”, Algebra Discrete Math., 2003, no. 4, 21–32
Citation in format AMSBIB
\Bibitem{BonNek03}
\by E.~Bondarenko, V.~Nekrashevych
\paper Post-critically finite self-similar groups
\jour Algebra Discrete Math.
\yr 2003
\issue 4
\pages 21--32
\mathnet{http://mi.mathnet.ru/adm390}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2070400}
\zmath{https://zbmath.org/?q=an:1068.20028}
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  • https://www.mathnet.ru/eng/adm390
  • https://www.mathnet.ru/eng/adm/y2003/i4/p21
    • This publication is cited in the following 11 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 :86
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