A note on the vanishing of \(H^ n(G,{\mathbb{Z}}G)\)

DOI10.1016/0022-4049(86)90149-0zbMath0599.20083OpenAlexW2073174123MaRDI QIDQ1080529

Ross Geoghegan, Michael L. Mihalik

Publication date: 1986

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(86)90149-0

zbMATH Keywords

group cohomologyuniversal covercohomology with compact supportsEilenberg-MacLane complexfinite n-skeletonhigher ends of groupshomology inverse sequence

Mathematics Subject Classification ID

General topology of complexes (57Q05) Covering spaces and low-dimensional topology (57M10) Homological methods in group theory (20J05) Asymptotic properties of groups (20F69) Eilenberg-Mac Lane spaces (55P20)

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Cites Work

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• Free Abelian cohomology of groups and ends of universal covers
• Ends of groups with the integers as quotient
• End invariants of group extensions
• Homotopy Classes of Maps to an Aspherical Complex
• Cohomology and the Behaviour at Infinity of Finitely Presented Groups