On a projective generalization of Alperin's conjecture
type: Item
instance of: scholarly article
title: On a projective generalization of Alperin's conjecture
zbMATH Open document ID: 0919.20008
DOI: 10.1023/A:1009940803444
author: Geoffrey R. Robinson
published in: Algebras and Representation Theory
publication date: 1999-09-08T00:00:00Z
review text: In an earlier paper [J. Lond. Math. Soc., II. Ser. 39, No. 1, 48-60 (1989; Zbl 0672.20005)], \textit{R. Knörr} and the author have shown that Alperin's weight conjecture is equivalent to the vanishing of a certain alternating sum. In the paper under review, it is shown that Alperin's weight conjecture is also equivalent to the vanishing of a refined alternating sum (taking characters of central \(p\)-subgroups into account).
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 1271026
zbMATH Keywords: Dade's conjecture
zbMATH Keywords: blocks
zbMATH Keywords: defect groups
zbMATH Keywords: Alperin's weight conjecture
zbMATH Keywords: characters of central \(p\)-subgroups
reviewed by: Burkhard Külshammer
MaRDI profile type: Publication
full work available at URL: a:1009940803444
OpenAlex ID: W14877889
description: scientific article; zbMATH DE number 1271026