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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
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
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
Linking options:
https://www.mathnet.ru/eng/aa147 https://www.mathnet.ru/eng/aa/v19/i6/p86
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Abstract page: | 904 | Full-text PDF : | 148 | References: | 73 | First page: | 14 |
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