Varieties and elementary Abelian groups

DOI10.1016/0022-4049(82)90106-2zbMath0499.20036OpenAlexW2085243483MaRDI QIDQ1171652

J. L. Alperin, Leonard Evens

Publication date: 1982

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(82)90106-2

zbMATH Keywords

elementary abelian p-subgroupsprime ideal spectrumQuillen's stratification theorem

Mathematics Subject Classification ID

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

Related Items (14)

Detecting nilpotence and projectivity over finite unipotent supergroup schemes ⋮ Carlson's theorem on varieties and transfer ⋮ The varieties and the cohomology ring of a module ⋮ Modular idempotents for the descent algebras of type A and higher Lie powers and modules ⋮ Stratification and \(\pi\)-cosupport: finite groups ⋮ Small modules with interesting rank varieties ⋮ Evens' norm map and Serre's theorem on the cohomology algebra of a \(p\)-group ⋮ Quillen stratification for modules ⋮ Varieties in finite transformation groups ⋮ Periodic modules of large periods for metacyclic \(p\)-groups ⋮ Spectrum of group cohomology and support varieties ⋮ Blocks and support varieties. ⋮ Quillen stratification for Hochschild cohomology of blocks ⋮ Varieties for cohomology with twisted coefficients

Cites Work

• Unnamed Item
• Representations, resolutions and Quillen's dimension theorem
• Annihilators of cohomology modules
• Sur la dimension cohomologique des groupes profinis
• Dimension and multiplicity for graded algebras
• Cohomology of finite groups and elementary abelian subgroups
• A cohomological criterion for p-nilpotence
• Graded π-rings
• The Cohomology Ring of a Finite Group
• Krull dimension in graded rings

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