Abstract
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 [1] 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 [1] we showed that this is indeed so in many cases. In this paper we prove it in general.
Original language | English |
---|---|
Pages (from-to) | 409-417 |
Number of pages | 9 |
Journal | Israel Journal of Mathematics |
Volume | 91 |
Issue number | 1-3 |
DOIs | |
State | Published - Oct 1995 |
Externally published | Yes |