Constructing free actions of p–groups on products of spheres

Klaus, Michele¹

¹Department of Mathematics, University of British Columbia, Vancouver BC V6T 1Z2, Canada

Algebraic and Geometric Topology, Tome 11 (2011) no. 5, pp. 3065-3084

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.3065

Classification : 57S17
Keywords: group action, product of spheres, homotopy sphere, equivariant spherical fibration

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