Biset functors for finite groups

From MaRDI portal
Publication:967132

DOI10.1007/978-3-642-11297-3zbMath1205.19002OpenAlexW606944415MaRDI QIDQ967132

Serge Bouc

Publication date: 27 April 2010

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11297-3




Related Items (88)

Green 2-functorsCategorified groupoid-sets and their Burnside ringSimple functors of admissible linear categoriesThe slice Burnside ring and the section Burnside ring of a finite groupOn geometrically transitive Hopf algebroidsA ghost algebra of the double Burnside algebra in characteristic zeroLinear representations and Frobenius morphisms of groupoidsOn the unit group of the Burnside ring as a biset functor for some solvable groupsIdempotents of double Burnside algebras, \(L\)-enriched bisets, and decomposition of \(p\)-biset functorsThe Dade group of Mackey functors for \(p\)-groupsOn Bouc's and Thévenaz's conjectures on \(B\)-groupsThe additive completion of the biset categoryDade groups for finite groups and dimension functionsThe Whitehead group of (almost) extra-special \(p\)-groups with \(p\) odd\(K\)-theory, genotypes, and biset functorsGreen fieldsThe ideals of the slice Burnside \(p\)-biset functorCorrespondence functors and finiteness conditionsVanishing evaluations of simple functorsSome deformations of the fibred biset categoryBiset transformations of Tambara functorsOrthogonal units of the bifree double Burnside ringTornehave morphisms. III: The reduced tornehave morphism and the Burnside unit functor.Blocks of Mackey categoriesGreen correspondence on centric Mackey functors over fusion systemsThe Roquette category of finite \(p\)-groupsAround evaluations of biset functorsOn the essential algebra of the shifted Burnside biset functorA study of a simple \(p\)-permutation functorFusion systems and constructing free actions on products of spheresUnit groups of representation rings and their ghost rings as inflation functorsCOHOMOLOGICAL MACKEY 2-FUNCTORSThe functor of complex characters of finite groupsOrthogonal units of the double Burnside ringA Mackey-functor theoretic interpretation of biset functorsSemisimplicity of some deformations of the subgroup category and the biset categorySimple biset functors and double Burnside ringSimple modules over Green biset functorsComputing Whitehead groups using genetic basesOn the table of marks of a direct product of finite groupsPartial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint tripletsRepresentations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group. II.Representation rings for fusion systems and dimension functionsReal representation spheres and the real monomial Burnside ring\(G_\infty\)-ring spectra and Moore spectra for \(\beta\)-ringsThe functor of \(p\)-permutation modules for abelian groupsOn fibred biset functors with fibres of order prime and fourA conjecture on \(B\)-groupsThe \(-_{+}\) and \(-^{+}\) constructions for biset functorsMislin’s theorem for fusion systems through Mackey functorsCentral idempotents of the bifree and left-free double Burnside ringMackey formula for bisets over groupoidsComposition factors of functorsEssential support of Green biset functors via morphismsLift of fractional D-brane charge to equivariant Cohomotopy theoryCategorical constructions related to finite groupsMonomial \(G\)-posets and their Lefschetz invariantsStabilizing bisetsA ghost ring for the left-free double Burnside ring and an application to fusion systemsThe \(A\)-fibered Burnside ring as \(A\)-fibered biset functor in characteristic zeroFibered \(p\)-biset functor structure of the fibered Burnside ringsEquivariant Moore spaces and the Dade groupFibered biset functorsSemigroup actions on sets and the Burnside ringGeneralized correspondence functorsOn the ideals and essential algebras of shifted functors of linear representationsObstructions for gluing biset functorsInducing native Mackey functors to biset functorsExpansivity and Roquette groupsImage of the Artin groups of classical types inside the finite Iwahori-Hecke algebrasRelative \(B\)-groupsA functorial presentation of units of Burnside ringsQuasi-hereditary structure of twisted split category algebras revisited.Quasi-hereditary property of double Burnside algebrasIdempotents in \(F_+(G)\)The center of a Green biset functorFusion systems of blocks of finite groups over arbitrary fieldsBiset Functors as Module Mackey Functors and its Relation to DerivatorsA General Approach to Green Functors Using BisetsThe composition factors of the functor of permutation modulesShifted functors of linear representations are semisimpleOn the image of the trivial source ring in the ring of virtual characters of a finite groupDeflation and tensor induction on the Frobenius-Wielandt morphismThe orthogonal unit group of the trivial source ringDiagonal \(p\)-permutation functors, semisimplicity, and functorial equivalence of blocksGalois descent of equivalences between blocks of 𝑝-nilpotent groupsFused Mackey functorsSome simple biset functors




This page was built for publication: Biset functors for finite groups