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arXiv · 1203.5882

Constructing homologically trivial actions on products of spheres

Ozgun Unlu·Ergun Yalcin
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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.

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Ozgun Unlu, Ergun Yalcin. 2012-03-27. Constructing homologically trivial actions on products of spheres. https://arxiv.org/abs/1203.5882

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