IUMJ

Title: Constructing homologically trivial actions on products of spheres

Authors: Ozgun Unlu and Ergun Yalcin

Issue: Volume 62 (2013), Issue 3, 927-945

Abstract:

We prove that if a finite group $G$ has a representation with fixity $f$, then it acts freely and homologically trivially on a finite CW-complex homotopy equivalent to a product of $f+1$ spheres. This shows, in particular, that every finite group acts freely and homologically trivially on some finite CW-complex homotopy equivalent to a product of spheres.