Solution of the twisting problem for skew group algebras

Eli Aljadeff*, Derek J.S. Robinson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)409-417
Number of pages9
JournalIsrael Journal of Mathematics
Volume91
Issue number1-3
DOIs
StatePublished - Oct 1995
Externally publishedYes

Fingerprint Dive into the research topics of 'Solution of the twisting problem for skew group algebras'. Together they form a unique fingerprint.

Cite this