Vol. 8, No. 7, 2014

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Finite generation of the cohomology of some skew group algebras

Van C. Nguyen and Sarah Witherspoon

Vol. 8 (2014), No. 7, 1647–1657
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.

Keywords
cohomology, Hopf algebras, skew group algebras
Mathematical Subject Classification 2010
Primary: 16E40
Secondary: 16T05
Milestones
Received: 4 October 2013
Accepted: 17 August 2014
Published: 21 October 2014
Authors
Van C. Nguyen
Department of Mathematics
Northeastern University
567 Lake Hall
Boston, MA 02115
United States
Sarah Witherspoon
Department of Mathematics
Texas A&M University
Mailstop 3368
College Station, TX 77843
United States