The slice Burnside ring and the section Burnside ring of a finite group

DOI10.1112/S0010437X11007500zbMath1252.19001arXiv1101.3138OpenAlexW3100093491MaRDI QIDQ2894207

Serge Bouc

Publication date: 29 June 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3138

zbMATH Keywords

Burnside ringghost mapGreen biset functor

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Grothendieck groups (category-theoretic aspects) (18F30)

Related Items (7)

Axiomatic theory of Burnside rings. I ⋮ The ideals of the slice Burnside \(p\)-biset functor ⋮ Simple functors over the Green biset functor of section Burnside rings ⋮ Lattice Burnside rings ⋮ On the \(T^{\circ}\)-slices of a finite group ⋮ Multiplicative induction and units for the ring of monomial representations ⋮ The center of a Green biset functor

Cites Work

• On the unit groups of Burnside rings
• Biset functors for finite groups
• Ring of subquotients of a finite group. I: Linearization
• Construction of functors between categories of \(G\)-sets
• The functor of units of Burnside rings for \(p\)-groups
• A characterisation of solvable groups

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