Fibred permutation sets and the idempotents and units of monomial Burnside rings

DOI10.1016/j.jalgebra.2004.07.022zbMath1056.19001OpenAlexW2165006486MaRDI QIDQ1887474

Laurence Barker

Publication date: 26 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.022

zbMATH Keywords

group of unitsMöbius inversionMackey functorstensor inductionfibred permutation setsmonomial Burnside ringstenductionunits of Burnside rings

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Generalized Burnside rings and group cohomology, Multiple Burnside rings and Brauer induction formulae, Some deformations of the fibred biset category, On the essential algebra of the shifted Burnside biset functor, Tensor induction for \(M\)-Burnside rings, Real representation spheres and the real monomial Burnside ring, Semisimplicity of the deformations of the subcharacter algebra of an abelian group, On fibred biset functors with fibres of order prime and four, Lattice Burnside rings, The \(-_{+}\) and \(-^{+}\) constructions for biset functors, Monomial \(G\)-posets and their Lefschetz invariants, The \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zero, Fibered \(p\)-biset functor structure of the fibered Burnside rings, Fibered biset functors, An induction theorem for the unit groups of Burnside rings of 2-groups, Multiplicative induction and units for the ring of monomial representations, The center of a Green biset functor, An inversion formula for the primitive idempotents of the trivial source algebra, The fibered Burnside group of a fusion system

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