Number of modular character degrees and lengths for solvable groups

DOI10.1016/0021-8693(92)90247-JzbMath0786.20004OpenAlexW2124840268MaRDI QIDQ1188137

I. M. Isaacs

Publication date: 13 August 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90247-j

zbMATH Keywords

finite solvable groups\(p\)-solvable groupsirreducible modulesderived lengths\(p\)-groups\(p\)-lengthsirreducible ordinary charactersAbelian normal complementsdegree problemsgroups of linear charactersIsaac conjecture

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (1)

Partial character degrees and length of soluble groups:thep-length 1 case

Cites Work

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• Abelian normal subgroups of M-groups
• Bounding the Number of Character Degrees of a Solvable Group
• Character Degrees and Derived Length of a Solvable Group
• Half-Transitive Automorphism Groups
• Endliche Gruppen I

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