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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 86–116 (Mi aa147)  

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

On finite simply reducible groups

L. S. Kazarin, V. V. Yanishevskii

P. G. Demidov Yaroslavl State University, Department of Mathematics
References:
Abstract: A finite $G$ group is said to be simply reducible ($SR$-group) if it has the following two properties: 1) each element of $G$ is conjugate to its inverse; 2) the tensor product of every two irreducible representations is decomposed as a sum of irreducible representations of $G$ with multiplicities not exceeding 1. It is proved that a finite $SR$-group is solvable if it has no composition factors isomorphic to the alternating groups $A_5$ or $A_6$.
Keywords: Group, subgroup, irreducible representation, character, tensor product, real element.
Received: 14.02.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 931–951
DOI: https://doi.org/10.1090/S1061-0022-08-01028-5
Bibliographic databases:
Document Type: Article
MSC: Primary 53A04; Secondary 52A40, 52A10
Language: Russian
Citation: L. S. Kazarin, V. V. Yanishevskii, “On finite simply reducible groups”, Algebra i Analiz, 19:6 (2007), 86–116; St. Petersburg Math. J., 19:6 (2008), 931–951
Citation in format AMSBIB
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\by L.~S.~Kazarin, V.~V.~Yanishevskii
\paper On finite simply reducible groups
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 6
\pages 86--116
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2411640}
\zmath{https://zbmath.org/?q=an:1206.20005}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 931--951
\crossref{https://doi.org/10.1090/S1061-0022-08-01028-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497100004}
Linking options:
  • https://www.mathnet.ru/eng/aa147
  • https://www.mathnet.ru/eng/aa/v19/i6/p86
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    References:73
    First page:14
     
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