Decomposing the complexity quotient category

DOI10.1017/S0305004100001572zbMath0884.20003OpenAlexW2142491746MaRDI QIDQ4352685

David John Benson

Publication date: 4 September 1997

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100001572

zbMATH Keywords

complexityequivalencedirect summandsquotient categoryfinite groupcohomology ringelementary Abelian \(p\)-subgroupsYoneda productinfinitely generated modulesstable module category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

The decomposition of the trivial module in the complexity quotient category

Cites Work

• Unnamed Item
• The cohomology ring of a module
• Representations, resolutions and Quillen's dimension theorem
• Complexity and quotient categories for group algebras
• Cohomology rings of induced modules
• Varieties and localizations of module categories
• The decomposition of the trivial module in the complexity quotient category
• The spectrum of an equivariant cohomology ring. I. II

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