Extensions of cocycles, Cohen-Macaulay geometries, and a vanishing theorem for cohomology of alternating groups.

DOI10.1016/S0021-8693(03)00437-XzbMath1062.20057MaRDI QIDQ1414664

Vladimir P. Burichenko

Publication date: 4 December 2003

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

zbMATH Keywords

parabolic subgroupscohomology groupsalternating groupscohomology of groupsBN-pairsBuekenhout geometriesgroups acting on linear spaces

Mathematics Subject Classification ID

Cohomology of groups (20J06) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

On homological properties of locally polar spaces. ⋮ Vanishing ranges for the mod \(p\) cohomology of alternating subgroups of Coxeter groups

Cites Work

• Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
• Coverings and automorphisms of chamber systems
• On decomposition of modular representations from Cohen-Macaulay geometries
• Universal presheaves on group geometries, and modular representations
• Diagrams for geometries and groups
• Extending morphisms of groups and graphs
• Extensions of cocycles in \(BN\)-pairs
• On homological properties of locally polar spaces.
• A homological property of groups acting on linear spaces.
• On cohomology of dual Specht modules
• The extension theory of the symmetric and alternating groups
• On extensions of coxeier groups
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