 
Summary: ISRAEL JOURNAL OF MATHEMATICS 91 (1995), 409417
SOLUTION OF THE TWISTING PROBLEM
FOR SKEW GROUP ALGEBRAS
BY
ELI ALJADEFF
Department of Mathematics
TechnionIsrael Institute of Technology, 32000Hai.fa, Israel
AND
DEREK J.S. ROBINSON*
Department of Mathematics
University of Illinois at UrbanaChampaign, Urbana, IL 61801, USA
ABSTRACT
Let K be any field of characteristic p > 0 and let G be a finite group
acting on K via a map v. The skew group algebra K~G may be non
semisimple (precisely when P[(H), H Kerr). In [1] necessary conditions
were given for the existence of a class a E H2(G, K*) which "twists" the
skew group algebra KrG into a semisimple crossed product K~G. 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.
