The stable free rank of symmetry of products of spheres
arXiv:0803.3572 · doi:10.1007/s00222-009-0197-3
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.
30 pages; improved exposition, some details added
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