Abstract
We prove that, for an odd prime, every finite –group of rank acts freely on a finite complex homotopy equivalent to a product of three spheres.
Citation
Michele Klaus. "Constructing free actions of $p$–groups on products of spheres." Algebr. Geom. Topol. 11 (5) 3065 - 3084, 2011. https://doi.org/10.2140/agt.2011.11.3065
Information
Received: 11 January 2011; Revised: 11 July 2011; Accepted: 25 August 2011; Published: 2011
First available in Project Euclid: 19 December 2017
zbMATH: 1237.57037
MathSciNet: MR2869452
Digital Object Identifier: 10.2140/agt.2011.11.3065
Subjects:
Primary:
57S17
Keywords:
equivariant spherical fibration
,
group action
,
homotopy sphere
,
product of spheres
Rights: Copyright © 2011 Mathematical Sciences Publishers
