The Alperin and Dade conjectures for the simple Conway's third group
type: Item
instance of: scholarly article
title: The Alperin and Dade conjectures for the simple Conway's third group
zbMATH Open document ID: 0938.20011
DOI: 10.1007/BF02773479
author: Jianbei An
published in: Israel Journal of Mathematics
publication date: 2000-06-18T00:00:00Z
review text: The author verifies the conjectures of \textit{J. L. Alperin} [Proc. Symp. Pure Math. 47, 369-379 (1987; Zbl 0657.20013)] and \textit{E. C. Dade} [Invent. Math. 109, No. 1, 187-210 (1992; Zbl 0780.20006)] for the simple Conway group \(Co_3\). His computations of radical subgroups, radical chains, normalizers and character degrees make use of the computer algebra system CAYLEY.
Mathematics Subject Classification ID: 20C34
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20C40
zbMATH DE Number: 1358184
zbMATH Keywords: Alperin's conjecture
zbMATH Keywords: Dade's conjecture
zbMATH Keywords: blocks
zbMATH Keywords: defect groups
zbMATH Keywords: simple Conway group \(Co_3\)
zbMATH Keywords: radical subgroups
zbMATH Keywords: radical chains
zbMATH Keywords: character degrees
zbMATH Keywords: CAYLEY
reviewed by: Burkhard Külshammer
describes a project that uses: Cayley
MaRDI profile type: Publication
Wikidata QID: Q123010576
cites work: Q3804896
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description: scientific article; zbMATH DE number 1358184