A study of a simple p-permutation functor

In this article we are going to give a description of a simple p  -permutation functor S1,CS1,C. We can prove the existence of an isomorphism between this functor and the functor which sends a group to the image of the Cartan homomorphism. This fact allows us to link the evaluation of S1,CS1,C with the image of the Cartan matrix of Comackk(G)Comackk(G), and gives us an explicit formula for the dimension of this evaluation.