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arXiv · 0803.3572

The stable free rank of symmetry of products of spheres

Bernhard Hanke
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Abstract

A well known conjecture in the theory of transformation groups states that if p is a prime and (Z/p)^r acts freely on a product of k spheres, then r is less than or equal to k. We prove this assertion if p is large compared to the dimension of the product of spheres. The argument builds on tame homotopy theory for non simply connected spaces.

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Bernhard Hanke. 2009-04-05. The stable free rank of symmetry of products of spheres. https://doi.org/10.1007/s00222-009-0197-3

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