Character correspondences, degrees, and derived length in solvable groups

DOI10.1006/jabr.1996.6965zbMath0894.20009OpenAlexW2065035277MaRDI QIDQ1356814

Thomas R. Wolf

Publication date: 8 September 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6965

zbMATH Keywords

degrees of irreducible characterssolvable groupssupersolvable groupsderived lengthsgroups of odd orderfaithful completely reducible modules

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)

Cites Work

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• Character correspondences and irreducible induction and restriction
• Characters and derived length in groups of odd order
• Character correspondences induced by subgroups of operator groups
• Characters with stable irreducible constituents
• Actions and invariant character degrees. II
• Character Correspondences and π-Special Characters in π-Separable Groups
• Bounding the Number of Character Degrees of a Solvable Group
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• Character Degrees and Derived Length of a Solvable Group
• Some Open Problems on Coprime Action and Character Correspondences
• Relative Character Correspondences in Finite Groups
• Endliche Gruppen I
• Character correspondences in solvable groups

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