On the cohomology of alternating and symmetric groups and decomposition of relation modules

DOI10.1016/0022-4049(90)90038-JzbMath0756.20008MaRDI QIDQ1174277

Wolfgang Kimmerle, Robert M. Guralnick

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Sylow \(p\)-subgroupalternating and symmetric groupsirreducible \(G\)-modulerelation cores

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Remarks on proficient groups. ⋮ First cohomology groups of Chevalley groups in cross characteristic. ⋮ On the cohomology of the finite Chevalley groups ⋮ Presentations of finite simple groups: profinite and cohomological approaches. ⋮ Normalizers of primitive permutation groups ⋮ The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina ⋮ On fixed points of permutations. ⋮ Groups of permutation polynomials over finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subgroups of prime power index in a simple group
• Generation of simple groups
• The representation theory of the symmetric groups
• The Decomposition of Relation Modules: A Correction
• Decomposition of the Relation Modules of a Finite Group
• Endliche Gruppen I