Character kernels and degree ratios in finite groups.

DOI10.1016/j.jalgebra.2009.01.033zbMath1186.20008OpenAlexW2105870905MaRDI QIDQ734773

I. M. Isaacs

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.01.033

zbMATH Keywords

finite solvable groupsFitting heightsirreducible characterskernelscharacter degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (3)

The character degree ratio and composition factors of a finite group. ⋮ The character degree ratio and large abelian subgroups ⋮ Controlling composition factors of a finite group by its character degree ratio.

Cites Work

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• Zweifach transitive, auflösbare Permutationsgruppen
• Irreducible character degrees and normal subgroups
• A Dual Version of Huppert's  -  Conjecture
• Character correspondences in solvable groups

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