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7 papers · 1 filter
Bisets as categories, and tensor product of induced bimodules
Serge Bouc
Bisets can be considered as categories. This note uses this point of view to give a simple proof of a Mackey-like formula expressing the tensor product of two induced bimodules.
Complexity and cohomology of cohomological Mackey functors
Serge Bouc
Let be a field of characteristic . Call a finite group a poco group over if any finitely generated cohomological Mackey functor for over has polynomial gro…
Gluing endo-permutation modules
Serge Bouc
In this paper, I show that if is an odd prime, and if is a finite -group, then there exists an exact sequence of abelian groups $$0\to T(P)\to D(P)\to\lproj{P}\to H^1\bi…
A sectional characterization of the Dade group
Serge Bouc, Jacques Thévenaz
Let be a field of characteristic , let be a finite - group, where is an odd prime, and let be the Dade group of endo-permutation -modules. It is known…
On the Vertices of Indecomposable Modules Over Dihedral 2-Groups
Guodong Zhou
Let be an algebraically closed field of characteristic 2. We compute the vertices of all indecomposable -modules for the dihedral group of order 8. We also give a c…
Rational -biset functors
Serge Bouc
In this paper, I give several characterizations of {\em rational biset functors over -groups}, which are independent of the knowledge of genetic bases for -groups. I also int…