## Algebra & Number Theory

### 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.

#### Article information

Source
Algebra Number Theory, Volume 8, Number 7 (2014), 1647-1657.

Dates
Accepted: 17 August 2014
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.ant/1513730270

Digital Object Identifier
doi:10.2140/ant.2014.8.1647

Mathematical Reviews number (MathSciNet)
MR3272277

Zentralblatt MATH identifier
1304.16014

#### Citation

Nguyen, Van; Witherspoon, Sarah. Finite generation of the cohomology of some skew group algebras. Algebra Number Theory 8 (2014), no. 7, 1647--1657. doi:10.2140/ant.2014.8.1647. https://projecteuclid.org/euclid.ant/1513730270

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#### Corrections

• Van C. Nguyen, Sarah Witherspoon. Correction to the article Finite generation of the cohomology of some skew group algebras. Algebra Number Theory 12 (2018), no. 2, 491--492.