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Algebra and Discrete Mathematics, 2010, Volume 10, Issue 1, Pages 67–87 (Mi adm40)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Diagonal direct limits of finite symmetric and alternating groups

Y. V. Lavrenyuka, V. V. Nekrashevychb, V. I. Sushchanskyc

a Kyiv Taras Shevchenko University Mechanics and Mathematics Faculty, Volodymyrska, 60, Kyiv, Ukraine 01033
b Department of Mathematics Texas A&M University, College Station, TX 77843-3368
c Institute of Mathematics Silesian University of Technology ul. Kaszubska 23, 44-100 Gliwice, POLAND
Full-text PDF (284 kB) Citations (2)
Abstract: Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees.
We describe a new method of classification of such permutation groups, and use this method to find a complete classification of diagonal direct limits of symmetric and alternating groups up to isomorphisms.
Keywords: locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions.
Received: 08.04.2010
Revised: 08.04.2010
Bibliographic databases:
Document Type: Article
MSC: 20F50, 20E32, 20E08, 37A15
Language: English
Citation: Y. V. Lavrenyuk, V. V. Nekrashevych, V. I. Sushchansky, “Diagonal direct limits of finite symmetric and alternating groups”, Algebra Discrete Math., 10:1 (2010), 67–87
Citation in format AMSBIB
\Bibitem{LavNekSus10}
\by Y.~V.~Lavrenyuk, V.~V.~Nekrashevych, V.~I.~Sushchansky
\paper Diagonal direct limits of finite symmetric and alternating groups
\jour Algebra Discrete Math.
\yr 2010
\vol 10
\issue 1
\pages 67--87
\mathnet{http://mi.mathnet.ru/adm40}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2807688}
\zmath{https://zbmath.org/?q=an:1215.20038}
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  • https://www.mathnet.ru/eng/adm40
  • https://www.mathnet.ru/eng/adm/v10/i1/p67
    • This publication is cited in the following 2 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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