Counting characters in blocks of \(M_{22}\)
type: Item
instance of: scholarly article
title: Counting characters in blocks of \(M_{22}\)
zbMATH Open document ID: 0876.20012
author: Janice F. Huang
published in: Journal of Algebra
publication date: 1997-06-10T00:00:00Z
review text: Dade's conjecture is a generalization of the Alperin-McKay conjectures, and relates the numbers of characters, with certain properties, of a group \(G\), to numbers of characters of certain \(p\)-local subgroups, via a complicated formula. Using the Classification Theorem for Finite Simple Groups, one might hope to verify the conjecture by first reducing to simple groups, and then checking the simple groups. The amount of calculation involved in such checking is however formidable, and only a few cases have been treated so far. The present paper is devoted to the verification of Dade's conjecture for the sporadic simple group \(M_{22}\) and all its covering groups.
Mathematics Subject Classification ID: 20C34
zbMATH DE Number: 1019683
zbMATH Keywords: Dade's conjecture
zbMATH Keywords: Alperin-McKay conjectures
zbMATH Keywords: numbers of characters
zbMATH Keywords: \(p\)-local subgroups
zbMATH Keywords: sporadic simple group \(M_{22}\)
zbMATH Keywords: covering groups
reviewed by: Robert A. Wilson
MaRDI profile type: Publication
full work available at URL: jabr.1996.6917
OpenAlex ID: W2001829687
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DOI: 10.1006/JABR.1996.6917
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description: scientific article; zbMATH DE number 1019683