Mackey izleçleri ve füzyon sistemleri

In this thesis, we study with the biset functors representation rings and superclass functions. We de ne representation rings of a saturated fusion system F and F-stable elements of superclass functions, then, we investigate the dimension homomorphism between those sets. We consider arbitrary saturated fusion system F and nite group G. Our aim is to describe the image of the F-stable elements of real representation ring of G, under the dimension function which is the set of Borel-Smith functions which satisfy an extra condition.