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Algebra and Discrete Mathematics, 2007, Issue 2, Pages 91–103 (Mi adm208)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

Free products of finite groups acting on regular rooted trees

C. K. Guptaa, N. D. Guptaa, A. S. Oliynykb

a Department of Mathematics and Astronomy, The University of Manitoba, R3T 2N2 Winnipeg, Canada
b Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Volodymyrska 60, 01033 Kyiv, Ukraine
Full-text PDF (697 kB) Citations (4)
Abstract: Let finite number of finite groups be given. Let $n$ be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted $n$-tree contains subgroups isomorphic to the free product of given groups.
Bibliographic databases:
Document Type: Article
Language: English
Citation: C. K. Gupta, N. D. Gupta, A. S. Oliynyk, “Free products of finite groups acting on regular rooted trees”, Algebra Discrete Math., 2007, no. 2, 91–103
Citation in format AMSBIB
\Bibitem{GupGupOli07}
\by C.~K.~Gupta, N.~D.~Gupta, A.~S.~Oliynyk
\paper Free products of finite groups acting on regular rooted trees
\jour Algebra Discrete Math.
\yr 2007
\issue 2
\pages 91--103
\mathnet{http://mi.mathnet.ru/adm208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2364065}
\zmath{https://zbmath.org/?q=an:1164.20006}
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  • https://www.mathnet.ru/eng/adm208
  • https://www.mathnet.ru/eng/adm/y2007/i2/p91
    • 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 :69
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