The stable free rank of symmetry of products of spheres

Details The stable free rank of symmetry of products of spheres The stable free rank of symmetry of products of spheres

2008-03-25

arxiv.org/abs/0803.3572v3

Mathematics

Algebraic Topology

30 pages; improved exposition, some details added

Scientific paper

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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