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Sbornik: Mathematics, 2010, Volume 201, Issue 5, Pages 655–668
DOI: https://doi.org/10.1070/SM2010v201n05ABEH004087 (Mi sm7540) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Finite simply reducible groups are soluble

L. S. Kazarin, E. I. Chankov

P. G. Demidov Yaroslavl State University
English version PDF (278 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2010v201n05ABEH004087
Abstract: A finite group $G$ is called simply reducible (briefly, an $SR$-group) if it has the following two properties: every element of this group is conjugate to its inverse; the tensor product of any two irreducible representations decomposes into a sum of irreducible representations of the group $G$ with multiplicities not exceeding 1. It is proved that finite $SR$-groups are soluble.
Bibliography: 13 titles.
Keywords: finite groups, characters, multiplicity-free representations, simply reducible groups.
Received: 13.02.2009 and 30.06.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 5, Pages 27–40
DOI: https://doi.org/10.4213/sm7540
Bibliographic databases:
Document Type: Article
UDC: 512.547.212
MSC: Primary 20C15; Secondary 20C35
Language: English
Original paper language: Russian
Citation: L. S. Kazarin, E. I. Chankov, “Finite simply reducible groups are soluble”, Mat. Sb., 201:5 (2010), 27–40; Sb. Math., 201:5 (2010), 655–668
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:57
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