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Algebra Discrete Math., 2015, Volume 19, Issue 1, Pages 19–38 (Mi adm503)  

This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees

Agnieszka Bier, Vitaliy Sushchansky

Silesian University of Technology, Institute of Mathematics

Abstract: The paper concerns the Sylow $p$-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L. Kaluzhnin on the structure of Sylow $p$-subgroups of isometry groups of ultrametric Cantor $p$-spaces in terms of automorphism groups of rooted trees. Most of the paper should be viewed as a systematic topical survey, however we include some new ideas in last sections.

Keywords: Sylow $p$-subgroups of wreath products of groups, homogeneous rooted trees, automorphisms of trees.

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MSC: 20B27, 20E08, 20B22, 20B35, 20F65, 20B07
Received: 09.03.2015
Revised: 09.03.2015
Language:

Citation: Agnieszka Bier, Vitaliy Sushchansky, “Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees”, Algebra Discrete Math., 19:1 (2015), 19–38

Citation in format AMSBIB
\Bibitem{BieSus15}
\by Agnieszka~Bier, Vitaliy~Sushchansky
\paper Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
\jour Algebra Discrete Math.
\yr 2015
\vol 19
\issue 1
\pages 19--38
\mathnet{http://mi.mathnet.ru/adm503}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3376336}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000209846200003}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bartłomiej Pawlik, “The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs”, Algebra Discrete Math., 21:2 (2016), 264–281  mathnet  mathscinet
  • Algebra and Discrete Mathematics
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