The McKay conjecture is true for the sporadic simple groups

DOI10.1006/jabr.1998.7450zbMath0920.20011OpenAlexW2139110396WikidataQ123361401 ScholiaQ123361401MaRDI QIDQ1270112

Robert A. Wilson

Publication date: 11 April 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5e2db157b9448cb686ac68ae5eb6d41891519f7e

zbMATH Keywords

sporadic simple groupsSylow subgroupsMcKay conjecturenumbers of irreducible complex characters

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representations of sporadic groups (20C34)

Related Items (12)

Real groups and Sylow 2-subgroups ⋮ Finite groups with odd Sylow automizers ⋮ Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups ⋮ Characters, commutators and centers of Sylow subgroups ⋮ Strengthening the McKay conjecture to include local fields and local Schur indices. ⋮ A reduction theorem for the McKay conjecture. ⋮ On the maximal number of coprime subdegrees in finite primitive permutation groups ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ The Inductive McKay Condition for Simple Groups Not of Lie Type ⋮ The fields of values of characters of degree not divisible byp ⋮ Finite groups with odd Sylow normalizers ⋮ Endotrivial modules for the sporadic simple groups and their covers.

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