Hall-Higman Type Theorems. III

DOI10.2307/1998519zbMath0433.20007OpenAlexW4238790224MaRDI QIDQ3871072

T. R. Berger

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1998519

zbMATH Keywords

Hall-Higman type theoremsfaithful irreducible moduleextraspecial subgroupcharacters of subgroups

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 (11)

The existence of regular orbits for nilpotent groups ⋮ The canonical character of metacyclic groups with a form-quasiprimitive symplectic module and an application to Brauer formulas of local Galois groups ⋮ Supersolvable automorphism groups of solvable groups. ⋮ A Hall-Higman type theorem for cyclic groups ⋮ Linear groups ⋮ The Regular Module Problem. I ⋮ Automorphisms of solvable groups ⋮ Hall-Higman type theorems. VI ⋮ The regular module problem. III ⋮ Hall-Higman Type Theorems. II ⋮ Nilpotent fixed point free automorphism groups of solvable groups

Cites Work

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• Hall-Higman type theorems. VI
• Class two p-groups as fixed point free automorphism groups
• Hall Higman Type Theorems, I
• Hall-Higman Type Theorems. II
• Hall-Higman Type Theorems, VII
• Characters of Solvable and Symplectic Groups
• Endliche Gruppen I
• Group Characters and Normal Hall Subgroups

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