The stable free rank of symmetry of products of spheres - Mathematics > Algebraic TopologyReport as inadecuate




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Abstract: A well known conjecture in the theory of transformation groups states that ifp is a prime and Z-p^r acts freely on a product of k spheres, then r is lessthan or equal to k. We prove this assertion if p is large compared to thedimension of the product of spheres. The argument builds on tame homotopytheory for non simply connected spaces.



Author: Bernhard Hanke

Source: https://arxiv.org/







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