Solution of the twisting problem for skew group algebras

Eli Aljadeff; Derek J.S. Robinson

doi:10.1007/BF02761659

Solution of the twisting problem for skew group algebras

Eli Aljadeff^*, Derek J.S. Robinson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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∈H²(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	https://doi.org/10.1007/BF02761659
State	Published - Oct 1995
Externally published	Yes

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author = "Eli Aljadeff and Robinson, {Derek J.S.}",

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AU - Robinson, Derek J.S.

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AB - 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.

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JO - Israel Journal of Mathematics

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ER -

Solution of the twisting problem for skew group algebras

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