On finite simply reducible groups

DOI10.1090/S1061-0022-08-01028-5zbMath1206.20005OpenAlexW2088170032MaRDI QIDQ3079230

V. V. Yanishevsky, Lev S. Kazarin

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-01028-5

zbMATH Keywords

finite groupscharacterssolvabilitymultiplicity-free representationstensor products of irreducible representationsreal elementssimply reducible groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items

Examples of Simply Reducible Groups ⋮ Large subgroups of a finite group of even order ⋮ Automorphism groups of simply reducible groups ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups.

Uses Software

• GAP

Cites Work

• Caractères unipotents de \({}^ 3D_ 4({\mathbb{F}}_ q)\)
• The representation theory of the symmetric groups
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• Upper bounds for the number of conjugacy classes of a finite group
• The uniformly 3-homogeneous subsets of PGL\((2,q)\)
• The number of conjugacy classes in a finite group
• The non-abelian simple groups g, |g| < 10⁶— character tables
• The maximal factorizations of the finite simple groups and their automorphism groups
• Numbers of conjugacy classes in some finite classical groups
• The Fitting subgroup of a linear solvable group
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