Constructing homologically trivial actions on products of spheres
Algebraic Topology
2012-03-28 v1
Abstract
We prove that if a finite group has a representation with fixity , then it acts freely and homologically trivially on a finite CW-complex homotopy equivalent to a product of 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.
Keywords
Cite
@article{arxiv.1203.5882,
title = {Constructing homologically trivial actions on products of spheres},
author = {Ozgun Unlu and Ergun Yalcin},
journal= {arXiv preprint arXiv:1203.5882},
year = {2012}
}