Cancellation theorems related to conjectures of Alperin and Dade
type: Item
instance of: scholarly article
title: Cancellation theorems related to conjectures of Alperin and Dade
zbMATH Open document ID: 1011.20013
author: Geoffrey R. Robinson
published in: Journal of Algebra
publication date: 2002-09-08T00:00:00Z
review text: Previously, the author and \textit{R.~Staszewski} [Astérisque 181-182, 237-255 (1990; Zbl 0703.20008)] showed that the Knörr-Robinson formulation of Alperin's weight conjecture is compatible with Clifford-theoretic reductions. These led to simplifications in some alternating sum calculations. Here the author gives analogous results for Dade's projective conjecture, which result in a new proof of this conjecture in the \(p\)-solvable case, with some refinements as well.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C15
zbMATH DE Number: 1797456
zbMATH Keywords: blocks
zbMATH Keywords: characters
zbMATH Keywords: Alperin weight conjecture
zbMATH Keywords: Dade's projective conjecture
reviewed by: William H. Gustafson
MaRDI profile type: Publication
full work available at URL: jabr.2001.9082
OpenAlex ID: W2022205298
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Wikidata QID: Q123262009
DOI: 10.1006/JABR.2001.9082
description: scientific article; zbMATH DE number 1797456