Volume 11, issue 5 (2011)

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Constructing free actions of $p$–groups on products of spheres

Michele Klaus

Algebraic & Geometric Topology 11 (2011) 3065–3084
Abstract

We prove that, for $p$ an odd prime, every finite $p$–group of rank $3$ acts freely on a finite complex $X$ homotopy equivalent to a product of three spheres.

Keywords
group action, product of spheres, homotopy sphere, equivariant spherical fibration
Primary: 57S17
Publication
Received: 11 January 2011
Revised: 11 July 2011
Accepted: 25 August 2011
Published: 22 December 2011
Authors
 Michele Klaus Department of Mathematics University of British Columbia Vancouver BC V6T 1Z2 Canada