A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
type: Item
instance of: scholarly article
title: A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
zbMATH Open document ID: 0608.20005
DOI: 10.1016/0021-8693(86)90212-7
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: A proof of the theorem stated in the title is given. Apart from being of interest itself, the result also has some applications in the representation theory of arbitrary finite groups (using the classification of finite simple groups). For example: ''Let G be a finite group, p a prime. Then \(p\nmid \chi (1)\) for all ordinary (resp. modular) irreducible characters \(\chi\) of G, if and only if G has a normal abelian (resp. normal) p-Sylow subgroup.''
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D06
zbMATH DE Number: 3983456
zbMATH Keywords: finite simple group of Lie type
zbMATH Keywords: p-blocks
zbMATH Keywords: defect
zbMATH Keywords: classification of finite simple groups
zbMATH Keywords: irreducible characters
zbMATH Keywords: p-Sylow subgroup
Wikidata QID: Q115366771
author: Gerhard O. Michler
describes a project that uses: CAS
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90212-7
OpenAlex ID: W1991591011
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description: scientific article; zbMATH DE number 3983456