On G-functors. I: Transfer theorems for cohomological G-functors

DOI10.14492/hokmj/1381758136zbMath0453.20007OpenAlexW1972005511MaRDI QIDQ1148990

Tomoyuki Yoshida

Publication date: 1980

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758136

zbMATH Keywords

Sylow intersectionstransfer theoremscohomological G-functorsfocal subgroup theoremnormal p-complements

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20) Cohomology of groups (20J06) Grothendieck groups (category-theoretic aspects) (18F30) Functor categories, comma categories (18A25)

Related Items (9)

Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ Some transfer theorems for Schur multipliers ⋮ Tensor induction for \(M\)-Burnside rings ⋮ Green correspondence and transfer theorems of Wielandt type for G- functors ⋮ Proper singularities of extraspecialp-groups for the mod-pcohomology functor ⋮ Units of Burnside rings of elementary abelian 2-groups ⋮ A general theory of canonical induction formulae ⋮ Idempotents of Burnside rings and Dress induction theorem ⋮ The equivalence between rational G-sheaves and rational G-Mackey functors for profinite G

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