On simple modules over the section burnside functor

Abstract

Biset functors provides a uni ed approach to module theoretic operations on representations of nite groups. It is well-known that biset functors can be considered as modules over the Green biset functor of the Burnside ring of nite groups. The problem of determining simple modules over a Green biset functor is open. In this thesis, we consider another Green biset functor, the functor of section Burnside ring, introduced by Serge Bouc, and obtain partial results on the parametrization problem of its simple modules.