Cohomological exponents of ZG-lattices

DOI10.1016/0022-4049(89)90048-0zbMath0677.20037OpenAlexW2010505883MaRDI QIDQ1123269

Adem, Alejandro

Publication date: 1989

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(89)90048-0

zbMATH Keywords

exponentscohomology of groupsfinite groupTate cohomologyHeller operatorp-subgroups\({\mathbb{Z}}G\)-latticeselementary abelian p-Sylow subgroupsfinitely generated \({\mathbb{Z}}G\)-module

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (6)

On the integral cohomology of wreath products ⋮ Bockstein closed 2-group extensions and cohomology of quadratic maps. ⋮ FREE FINITE GROUP ACTIONS ON RATIONAL HOMOLOGY 3-SPHERES ⋮ Cohomology of uniformly powerful $p$-groups ⋮ Discrete groups with large exponents in cohomology ⋮ Commuting elements, simplicial spaces and filtrations of classifying spaces

Cites Work

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• Minimal resolutions for finite groups
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• The Cohomology Ring of a Finite Group
• The Integral Cohomology Rings of Groups of Order p 3

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