Basit öbek izleçlerinin bir eşlemesi

Representation theory of finite groups associates two classical constructionsto a group G, namely the representation ring of G and the Burnside ring of G.These rings share a special structure that comes from three classical maps, namelyrestriction, conjugation, and transfer maps. These are not the only objects havingthis structure and the theory of Mackey functors, introduced by Green, unifiesthe treatment of such objects.The above constructions share a further structure that comes from two othermaps, the inflation map and the deflation map. Unified treatment of the objectshaving this further structure was introduced by Bouc [4]. These objects are calledbiset functors.Between Mackey functors and biset functors there lies more natural constructions,for example the functor of group (co)homology. In order to handle these intermediatestructures, Bouc introduced another concept, now known as globallydefinedMackey functors, a name given by Webb.In this thesis, we unify the above theories by considering the algebra whosemodule category is equivalent to the category of biset functors and by introducingalcahestic group functors. Our main results classify and describe simple alcahesticgroup functors and give a criterion of semisimplicity for the categories of thesefunctors.