The fibered p-biset functor of the fibered Burnside ring

We find the composition factors of the A-fibered Burnside functor kBA of p-groups over a field k of characteristic q with q≠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 fiber group A.