On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree.
type: Item
instance of: scholarly article
title: On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree.
zbMATH Open document ID: 1156.20011
author: Christine Bessenrodt
author: Heike Weber
published in: Journal of Algebra
publication date: 2008-11-12T00:00:00Z
review text: Let \(p\) be a prime, and let \(B\) be a \(p\)-block of a finite symmetric or alternating group of degree \(n\geq p\) with the property that the degrees of all irreducible Brauer characters in \(B\) are prime powers. The authors show that either \(n\leq 8\) and \(p\leq 5\), or \(B\) has defect zero. In the latter case, \(B\) corresponds to the partition \((n-1,1)\) or to the partition \((2,1^{n-2})\).
reviewed by: Burkhard Külshammer
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 05E10
zbMATH DE Number: 5365172
zbMATH Keywords: symmetric groups
zbMATH Keywords: alternating groups
zbMATH Keywords: irreducible Brauer characters
zbMATH Keywords: defect groups
zbMATH Keywords: partitions
zbMATH Keywords: character degrees
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2008.04.029
OpenAlex ID: W1966205089
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DOI: 10.1016/J.JALGEBRA.2008.04.029
description: scientific article; zbMATH DE number 5365172