Coprime action, characters and decomposition numbers
type: Item
instance of: scholarly article
title: Coprime action, characters and decomposition numbers
zbMATH Open document ID: 0854.20009
DOI: 10.1007/BF01195234
author: Gabriel Navarro
published in: Archiv der Mathematik
publication date: 1997-01-21T00:00:00Z
review text: If \(A\) acts coprimely as automorphisms on a \(p\)-solvable group \(G\) and \(\chi\) is an \(A\)-stable irreducible character of \(G\), then there is an \(A\)-stable Brauer character of \(G\) in the decomposition of \(\chi\).
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D10
zbMATH DE Number: 938594
zbMATH Keywords: decomposition numbers
zbMATH Keywords: \(p\)-solvable groups
zbMATH Keywords: irreducible characters
zbMATH Keywords: Brauer characters
reviewed by: J. Navarro
MaRDI profile type: Publication
cites work: Characters of \(\pi\)-separable groups
cites work: Fong characters in \(\pi\)-separable groups
cites work: Characters and Hall subgroups of groups of odd order
cites work: Character correspondences and irreducible induction and restriction
cites work: Fong Characters and Correspondences in π-Separable Groups
cites work: Some Open Problems on Coprime Action and Character Correspondences
cites work: Characters with stable irreducible constituents
cites work: Glauberman-Isaacs correspondence and \(\pi\)-Brauer characters
cites work: Character correpondences in \(p\)-solvable groups
cites work: Character Correspondences and π-Special Characters in π-Separable Groups
full work available at URL: https://doi.org/10.1007/bf01195234
OpenAlex ID: W2065549395
description: scientific article; zbMATH DE number 938594