Transfer maps and virtual projectivity

DOI10.1006/jabr.1997.7486zbMath0916.20004OpenAlexW1979960695MaRDI QIDQ1270998

Chuang Peng, Wayne W. Wheeler, Carlson, Jon F.

Publication date: 19 July 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7486

zbMATH Keywords

finite groupsfinitely generated modulestensor productstriangulated categoriesthick subcategoriesstable categoriestransfer mapsrelative projectivityvirtually projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (15)

Relative stable categories and birationality ⋮ Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories ⋮ Virtual projectivity and the stable module category ⋮ Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability ⋮ Transfers and regular elements in cohomology algebras of finite groups. ⋮ Relative projectivity and the Green correspondence for complexes ⋮ Clifford's theorem for orbit categories ⋮ The Dade group of a finite group. ⋮ Compactly generated relative stable categories. ⋮ Relative projectivity and relative endotrivial modules. ⋮ Adjoint Functors and Triangulated Categories ⋮ Relatively stable equivalences of Morita type for blocks ⋮ Relative endotrivial modules and endo-\(p\)-permutation modules in the Auslander-Reiten quiver. ⋮ Varieties for cohomology with twisted coefficients ⋮ Tensor induction of relative syzygies

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• SOME REMARKS ON CENTRAL ELEMENTARY ABELIAN P-SUBGROUPS AND COHOMOLOGY OF CLASSIFYING SPACES
• Idempotent Modules in the Stable Category

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