Zeros of Brauer characters and linear actions of finite groups: small primes.
type: Item
instance of: scholarly article
title: Zeros of Brauer characters and linear actions of finite groups: small primes.
zbMATH Open document ID: 1315.20007
author: Silvio Dolfi
author: Emanuele Pacifici
published in: Journal of Algebra
publication date: 2014-08-12T00:00:00Z
reviewed by: Robert W. van der Waall
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D25
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 19A22
Mathematics Subject Classification ID: 20H30
Mathematics Subject Classification ID: 20D45
zbMATH DE Number: 6329097
zbMATH Keywords: Brauer characters
zbMATH Keywords: finite groups
zbMATH Keywords: linear actions
zbMATH Keywords: \(p\)-Brauer character tables
zbMATH Keywords: primitive modules
zbMATH Keywords: Clifford theory
zbMATH Keywords: Fitting subgroup
zbMATH Keywords: semilinear groups
zbMATH Keywords: irreducible actions
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2013.09.047
OpenAlex ID: W2038481578
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DOI: 10.1016/J.JALGEBRA.2013.09.047
review text: The finite groups whose \(p\)-Brauer character table, for \(p=2\) or \(p=3\), does not contain any zero are classified. As such, the analysis as done by the authors for \(p\geq 5\) [ibid. 340, No. 1, 104-113 (2011; Zbl 1253.20007)], has been made complete.NEWLINENEWLINE The eighteen lemmas, propositions and theorems in this paper require sometimes rather involved but ingenious arguments. There is much information hidden in the proofs. The contents provides several issues suited for related proposes. The paper centers around irreducible actions with relevant orbit properties.
description: scientific article; zbMATH DE number 6329097