  Answering a question of P\'alfy and Pyber, we first prove the following
extension of the k(GV)-Problem: Let G be a finite group and A\le Aut(G) such
that (|G|,|A|)=1. Then the number of conjugacy classes of the semidirect
product GA is at most |G|. As a consequence we verify Brauer's k(B)-Conjecture
for pi-blocks of pi-separable groups which was proposed by Y. Liu. We also
discuss equality in Brauer's Conjecture. On the other hand, we construct a
counterexample to a version of Olsson's Conjecture for pi-blocks which was also
introduced by Liu.
