P-permütasyon ikili izleçlerinin bazı basit komposizyon faktörleri

Let k be an algebraically closed field of characteristic p, which is a prime, and \mathbb{C} denote the field of complex numbers. Given a finite group G, letting pp_k(G) denote the Grothendieck group of p-permutation kG-modules, we consider the biset functor of p-permutation modules, \mathbb{C}pp_k, by tensoring with \mathbb{C}. By a theorem of Serge Bouc, it is known that the simple biset functors S_{H,V} are parametrized by pairs (H,V) where H is a finite group, and V is a simple \mathbb{C}Out(H)-module. At present, the full classification of the simple biset functors apparent in \mathbb{C}pp_k is not known. In this thesis, we find new simple functors S_{H,V} apparent in \mathbb{C}pp_k where H is a specific type of p-hypo-elementary B-group. The technique for this result makes use of Maxime Ducellier's notion of a p-permutation functor and his use of D-pairs to classify the simple factors of the p-permutation functor of p-permutation modules \mathbb{C}pp_k^{p-perm.}.