Cohomological non-vanishing for modules over \(p\)-groups

DOI10.1016/0021-8693(91)90238-4zbMath0748.20028OpenAlexW2012566792MaRDI QIDQ1177270

Adem, Alejandro

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90238-4

zbMATH Keywords

minimal resolutionsprojective modulesTate cohomologynon-vanishingfinite \(p\)-groupfinitely generated \(\mathbb{Z} G\)-lattice

Mathematics Subject Classification ID

Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

Multiple complexes and gaps in Farrell cohomology ⋮ Three-manifolds class field theory. (Homology of coverings for a nonvirtually \(b_1\)-positive manifold) ⋮ Cohomological nonvanishing for modules over discrete groups ⋮ Euler characteristics and cohomology of \(p\)-local discrete groups

Cites Work

• Modules over finite groups
• Minimal resolutions for finite groups
• On the exponent of \(H^ n(G,Z)\)
• On modules of trivial cohomology over a finite group. I
• On Modules of Trivial Cohomology over a Finite Group, II (Finitely Generated Modules)

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