Tekil Burnside izleci

Given a finite group G, we can realize the permutationmodules by the linearization map defined from the Burnsidering B(G) to the character ring of G.But not all KG-modules are permutation modules. Torealize all the KG-modules we need to replace B(G) bythe monomial Burnside ring B(C,G). We can get informationabout monomial Burnside ring of G by considering subgroups or quotient groups ofG. For this the setting of biset functorsis suitable. We can consider the monomial Burnside ring as abiset functor and study the elemental maps: transfer,retriction, inflation, deflation and isogation. Among thesemaps, deflation is somewhat difficult and requires moreconsideration. In particular, we examine deflation for p-groups and study the simple composition factors of the real monomial Burnside functor for 2-groups.