Finite generation of the cohomology of some skew group algebras

Abstract

We prove that some skew group algebras have Noetherian cohomology rings, a property inherited from their component parts. The proof is an adaptation of Evens' proof of finite generation of group cohomology. We apply the result to a series of examples of finite dimensional Hopf algebras in positive characteristic.

11 pages. Corrections are added to the proof of finite generation in Section 5