Relative projectivity and ideals in cohomology rings

DOI10.1006/jabr.1996.0245zbMath0870.20032OpenAlexW2014710621MaRDI QIDQ1921938

Chuang Peng, Carlson, Jon F.

Publication date: 8 September 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0245

zbMATH Keywords

finite groupsfinitely generated modulescohomology ringsidempotent modulestensor productsrelative projectivityhomogeneous elementsrelative projective resolutionsessential direct summands

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (8)

Virtual projectivity and the stable module category ⋮ Transfers and regular elements in cohomology algebras of finite groups. ⋮ The Dade group of a finite group. ⋮ Generalized trace and modified dimension functions on ribbon categories ⋮ Relative projectivity and relative endotrivial modules. ⋮ Relatively stable equivalences of Morita type for blocks ⋮ Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver. ⋮ Transfer maps and virtual projectivity

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