Notes on equivariant homology with constant coefficients

Sophie Kriz

Vol. 309 (2020), No. 2, 381–399

DOI: 10.2140/pjm.2020.309.381

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