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ISRAEL JOURNAL OF MATHEMATICS 91 (1995), 409-417 SOLUTION OF THE TWISTING PROBLEM
 

Summary: ISRAEL JOURNAL OF MATHEMATICS 91 (1995), 409-417
SOLUTION OF THE TWISTING PROBLEM
FOR SKEW GROUP ALGEBRAS
BY
ELI ALJADEFF
Department of Mathematics
Technion--Israel Institute of Technology, 32000Hai.fa, Israel
AND
DEREK J.S. ROBINSON*
Department of Mathematics
University of Illinois at Urbana-Champaign, 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.

  

Source: Aljadeff, Eli - Department of Mathematics, Technion, Israel Institute of Technology

 

Collections: Mathematics