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arxiv: 1310.0724 · v4 · pith:V5ONSJCNnew · submitted 2013-10-02 · 🧮 math.RT · math.RA

Finite generation of the cohomology of some skew group algebras

classification 🧮 math.RT math.RA
keywords algebrascohomologyfinitegroupgenerationproofskewsome
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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.

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