Vol. 309, No. 2, 2020

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Notes on equivariant homology with constant coefficients

Sophie Kriz

Vol. 309 (2020), No. 2, 381–399
Abstract

For a finite group, we discuss a method for calculating equivariant homology with constant coefficients. We apply this method to completely calculate the geometric fixed points of the equivariant spectrum representing equivariant (co)homology with constant coefficients. We also treat a more complicated example of inverting the standard representation in the equivariant homology of split extraspecial groups at the prime 2.

Keywords
equivariant homology, geometric fixed points, extraspecial groups
Mathematical Subject Classification
Primary: 55N91
Milestones
Received: 5 July 2020
Revised: 15 November 2020
Accepted: 20 November 2020
Published: 14 January 2021
Authors
Sophie Kriz
Department of Mathematics
University of Michigan
Ann Arbor, MI
United States