The Regular Module Problem. I

DOI10.2307/2154108zbMath0797.20004OpenAlexW4246697951MaRDI QIDQ4015863

T. R. Berger, Beverly Bailey Hargraves, Christian R. Shelton

Publication date: 29 November 1992

Full work available at URL: https://doi.org/10.2307/2154108

zbMATH Keywords

Fitting subgroupsinduced representationscharacter valuescharacter theoryprimitive modulesfinite solvable groupregular direct summandnormal extraspecial subgroupregular module problem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

The regular module problem, II

Cites Work

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• Generalized permutation characters of solvable groups
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• Supersolvable automorphism groups of solvable groups.
• The regular module problem. III
• Tensor induction of generalized characters and permutation characters
• On groups admitting fixed point free abelian operator groups
• The automorphism group of an extraspecial \(p\)-group
• The Sylow 2-subgroups of the finite classical groups
• Hall-Higman Type Theorems. IV
• Hall-Higman Type Theorems. III
• Hall Higman Type Theorems, I
• Hall-Higman Type Theorems. II
• Hall-Higman Type Theorems, VII
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]
• Endliche Gruppen I

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