Complexity and elementary Abelian p-groups

DOI10.1016/0021-8693(84)90094-2zbMath0536.20033OpenAlexW1969425748MaRDI QIDQ791661

Ove Kroll

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90094-2

zbMATH Keywords

complexitycohomologyprojective resolutionelementary abelian p-subgroupsfinitely generated kG-module

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (10)

Detecting nilpotence and projectivity over finite unipotent supergroup schemes ⋮ A note on the cohomology of finite-dimensional cocommutative Hopf algebras ⋮ Modules of finite virtual projective dimension ⋮ Integral representations of finite transformation groups. I ⋮ The non‐projective part of the tensor powers of a module ⋮ Periodic modules of large periods for metacyclic \(p\)-groups ⋮ Permutation complexes and modular representation theory ⋮ Structure and detection theorems for \(k[C_2\times C_4\)-modules.] ⋮ Cohomological restrictions on finite group actions ⋮ A Quillen stratification theorem for modules

Cites Work

• Sur la dimension cohomologique des groupes profinis
• Groups with no odd dimensional cohomology
• Cohomology of finite groups and elementary abelian subgroups
• A cohomological criterion for p-nilpotence
• Homology
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