Hall-Higman type theorems. V

DOI10.2140/pjm.1977.73.1zbMath0412.20004OpenAlexW1981872358MaRDI QIDQ1260170

T. R. Berger

Publication date: 1977

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1977.73.1

zbMATH Keywords

solvable grouppermutation representationregular orbitFrobenius reciprocityMackey decompositionnilpotent complementextraspecial subgrouptensor induced module

Mathematics Subject Classification ID

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) Projective representations and multipliers (20C25)

Related Items (21)

The existence of regular orbits ⋮ Solvable groups and algebraic modules ⋮ Monomial characters and normal subgroups ⋮ 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. ⋮ Tensor induction of projective representations ⋮ On Frobenius and tensor induction. ⋮ A Hall-Higman type theorem for cyclic groups ⋮ Linear groups ⋮ On a conjecture of Thompson ⋮ On tensor induction for representations of finite groups. ⋮ Primitive solvable groups ⋮ An example in the theory of normal Fitting classes ⋮ Automorphisms of solvable groups ⋮ The regular module problem. III ⋮ Clifford theory and tensor induction ⋮ Endo-permutation modules in p-solvable groups ⋮ Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I ⋮ Generic fixed point free action of arbitrary finite groups ⋮ Prime characters and factorizations of quasi-primitive characters

This page was built for publication: Hall-Higman type theorems. V