Generalized Burnside rings and group cohomology

DOI10.1016/j.jalgebra.2006.10.037zbMath1114.19001OpenAlexW2113264902MaRDI QIDQ875934

Robert Hartmann, Ergün Yalçın

Publication date: 16 April 2007

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

Full work available at URL: http://hdl.handle.net/11693/11588

zbMATH Keywords

cohomology of groupsgeneralized Burnside ringsmonomial G-sets

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Cohomology of groups (20J06) Representation theory of groups (20C99) Frobenius induction, Burnside and representation rings (19A22) Grothendieck groups (category-theoretic aspects) (18F30) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (8)

Categorified groupoid-sets and their Burnside ring ⋮ Multiple Burnside rings and Brauer induction formulae ⋮ Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ On the fractions of semi-Mackey and Tambara functors ⋮ Global representation rings ⋮ Generalised Burnside rings, G-categories and module categories ⋮ The crossed Burnside rings. III: The Dress construction for a Tambara functor ⋮ A Tate cohomology sequence for generalized Burnside rings

Cites Work

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• The \(p\)-blocks of the Mackey algebra
• Fibred permutation sets and the idempotents and units of monomial Burnside rings
• Crossed Burnside rings. II: The Dress construction of a Green functor
• Hochschild Constructions for Green Functors
• Homology
• Crossed Burnside rings. I: The fundamental theorem

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