Let K be any field of characteristic p>0 and let G be a finite group acting on K via a map τ. The skew group algebra K τG may be nonsemisimple (precisely when P|(H), H=Kert). In  necessary conditions were given for the existence of a class α∈H 2(G,K*) which "twists" the skew group algebra K τG into a semisimple crossed product K τ αG . The "twisting problem" asks whether these conditions are sufficient. In  we showed that this is indeed so in many cases. In this paper we prove it in general.