The decomposition of the trivial module in the complexity quotient category

DOI10.1016/0022-4049(94)00005-0zbMath0864.20002OpenAlexW2116538705MaRDI QIDQ1910746

Carlson, Jon F.

Publication date: 19 May 1996

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(94)00005-0

zbMATH Keywords

finite groupsfinitely generated modulescohomology ringselementary Abelian \(p\)-subgroupscomplexity quotient categoriesexact sequences of \(kG\)-modulessums of induced modules

Mathematics Subject Classification ID

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

Related Items (5)

Varieties and localizations of module categories ⋮ Decomposing the complexity quotient category ⋮ Complexity and varieties for infinitely generated modules, II ⋮ Frobenius-Perron theory of endofunctors ⋮ Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

Cites Work

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• The varieties and the cohomology ring of a module
• The image of the transfer map
• Homotopy decomposition of classifying spaces via elementary Abelian subgroups
• Complexity and quotient categories for group algebras
• Varieties and transfers
• Cohomology rings of induced modules
• Varieties and localizations of module categories
• The spectrum of an equivariant cohomology ring. I. II
• A cohomological criterion for p-nilpotence
• Varieties and modules with vanishing cohomology
• Decomposing the complexity quotient category

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