Decomposition numbers of exceptional Weyl groups. II
type: Item
instance of: scholarly article
title: Decomposition numbers of exceptional Weyl groups. II
zbMATH Open document ID: 0656.20018
DOI: 10.1016/0021-8693(85)90137-1
author: Firooz Khosraviyani
author: Alun O. Morris
published in: Journal of Algebra
publication date: 1985-01-01T00:00:00Z
review text: [For Part I, cf. the first author, ibid. 91, 390-409 (1984; Zbl 0559.20011).] In this work, the modular irreducible characters of the exceptional Weyl groups for the prime numbers \(p=5,7\) are determined. The only groups which need to be considered are those of type E, namely, \(W(E_ 6)\), \(W(E_ 7)\) and \(W(E_ 8)\). In all cases but one, namely, \(W(E_ 8)\) and \(p=5\), the relevant prime number divides the order of the group to the first power only.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C30
zbMATH DE Number: 4071182
zbMATH Keywords: modular irreducible characters
zbMATH Keywords: exceptional Weyl groups
MaRDI profile type: Publication
full work available at URL: 0021-8693(85)90137-1
OpenAlex ID: W4205363512
cites work: Investigations on group characters
cites work: On Groups Whose Order Contains a Prime Number to the First Power I
cites work: Q3952291
cites work: Decomposition numbers of exceptional Weyl groups. I
description: scientific article; zbMATH DE number 4071182