Local control of group cohomology

DOI10.1016/0022-4049(95)00095-EzbMath0839.20066OpenAlexW2078299495WikidataQ127517438 ScholiaQ127517438MaRDI QIDQ1901023

John S. Maginnis

Publication date: 2 June 1996

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00095-e

zbMATH Keywords

spectral sequencefinite \(p\)-groupsMathieu groupequivariant cohomologyGrothendieck groupTate cohomologyfinite group acting simplicially on finite simplicial complexfinitely generated \(\mathbb{Z} G\)-modulesHall-Janko-Wales group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Equivariant homology and cohomology in algebraic topology (55N91) Finite nilpotent groups, (p)-groups (20D15) Simplicial sets and complexes in algebraic topology (55U10) (K_0) of group rings and orders (19A31)

Related Items

Some homotopy equivalences for sporadic geometries ⋮ The cohomology of the sporadic groups \(J_2\) and \(J_3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Some projective modules determined by sporadic geometries
• Minimal parabolic geometries for the sporadic groups
• Complexes, group cohomology, and an induction theorem for the Green ring
• Diagrams for geometries and groups
• The geometry and cohomology of the Mathieu group \(M_{12}\)
• A local method in group cohomology
• Sylow intersections and fusion
• ON THE LOCAL CONTROL OF SCHUR MULTIPLIERS
• Automorphisms of trivalent graphs