Character correspondences and irreducible induction and restriction

DOI10.1016/0021-8693(91)90150-7zbMath0743.20005OpenAlexW2133923182MaRDI QIDQ1176657

Gabriel Navarro, I. M. Isaacs

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90150-7

zbMATH Keywords

irreducible charactersfinite group\(M\)-groupHall-subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (20)

Induction and character correspondences in groups of odd order ⋮ On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups ⋮ Characters with stable irreducible constituents ⋮ Character correspondences, degrees, and derived length in solvable groups ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Glauberman-Watanabe corresponding $p$-blocks of finite groups with normal defect groups are Morita equivalent ⋮ The extension of the first main theorem for \(\pi\)-blocks. ⋮ A note on the Glauberman correspondence ⋮ Coprime action, characters and decomposition numbers ⋮ Two remarks on the Glauberman-Isaacs character correspondence. ⋮ On Brauer's height zero conjecture ⋮ Coprime actions and degrees of primitive inducers of invariant characters ⋮ Module Correspondences for Twisted Group Algebras ⋮ Character correspondences and subgroups of operator groups ⋮ Character triple conjecture for \(p\)-solvable groups ⋮ On \(\pi\)-block induction in a \(\pi\)-separable group ⋮ A Morita equivalence for blocks of finite p-solvable groups in the Glauberman–Isaacs–Watanabe correspondence context ⋮ Induction of characters, kernels and local subgroups ⋮ Carter subgroups, characters and composition series ⋮ Weights, vertices and a correspondence of characters in groups of odd order

Cites Work

• Unnamed Item
• A characteristic class of characters of finite \(\pi\)-separable groups
• Primitive characters, normal subgroups, and M-groups
• Module correspondence in finite groups
• Character correspondences induced by subgroups of operator groups
• Character Correspondences and π-Special Characters in π-Separable Groups
• Induction and Restriction of π-Special Characters
• Characters of Solvable and Symplectic Groups
• Correspondences of Characters for Relatively Prime Operator Groups
• Character correspondences in solvable groups

This page was built for publication: Character correspondences and irreducible induction and restriction