Constructing free actions of p–groups on products of spheres

Klaus, Michele

doi:10.2140/agt.2011.11.3065

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

Michele Klaus

Algebraic & Geometric Topology 11 (2011) 3065–3084

DOI: 10.2140/agt.2011.11.3065

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

Mathematical Subject Classification 2010

Primary: 57S17

References

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

Volume 11, issue 5 (2011)