Fibered biset functors

DOI10.1016/j.aim.2018.09.034zbMath1408.19001arXiv1612.01117OpenAlexW2962826724MaRDI QIDQ1989712

Robert Boltje, Olcay Coşkun

Publication date: 29 October 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01117

zbMATH Keywords

finite groupsrepresentationsrepresentation ringsbiset functorssimple functorsFibered \(G\)-sets

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Some deformations of the fibred biset category, On the essential algebra of the shifted Burnside biset functor, The functor of complex characters of finite groups, Simple functors over the Green biset functor of section Burnside rings, Semisimplicity of the deformations of the subcharacter algebra of an abelian group, The \(-_{+}\) and \(-^{+}\) constructions for biset functors, Essential support of Green biset functors via morphisms, The \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zero, Fibered \(p\)-biset functor structure of the fibered Burnside rings, The center of a Green biset functor, On the image of the trivial source ring in the ring of virtual characters of a finite group, Diagonal \(p\)-permutation functors, semisimplicity, and functorial equivalence of blocks, Some simple biset functors

Cites Work

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• Bisets as categories and tensor product of induced bimodules.
• Explicit and canonical Dress induction.
• Biset functors for finite groups
• Modules with trivial source, modular monomial representations and a modular version of Brauer's induction theorem
• A general theory of canonical induction formulae
• Fibred permutation sets and the idempotents and units of monomial Burnside rings
• Set functors equipped with a double action
• Simple modules over Green biset functors
• The group of endo-permutation modules
• On fibred biset functors with fibres of order prime and four
• The functor of units of Burnside rings for \(p\)-groups
• The ring of monomial representations. I: Structure theory
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• The Structure of Mackey Functors
• Monomial resolutions