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arXiv · 1310.0724

Finite generation of the cohomology of some skew group algebras

Van C. Nguyen·Sarah Witherspoon
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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.

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Van C. Nguyen, Sarah Witherspoon. 2017-10-21. Finite generation of the cohomology of some skew group algebras. https://doi.org/10.2140/ant.2018.12.491

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