The fibered p-biset functor of the fibered burnside ring

Abstract

We nd the composition factors of the A- bered Burnside functor kBA of p- groups over a eld k of characteristic q with q 6= p. We show that if A is a cyclic p-group, then kBA is uniserial. Moreover, we also show that the simple composition factors of kBA depends only on the prime p and the characteristic q, and not on the particular ber group A.