Simple functors over the Green biset functor of section Burnside rings

Abstract

Green biset functors are introduced by Serge Bouc as a general framework to work with biset functors having an additional ring structure. Well-known examples include the functors of (fibered) Burnside rings, trivial source rings and character rings. Serge Bouc also introduced two generalizations of Burnside rings, the so-called slice and section Burnside rings which are also Green biset functors. In this paper, we classify simple modules over the Green biset functor of section Burnside rings.