Constructing homologically trivial actions on products of spheres
Abstract
We prove that if a finite group G has a representation with fixity f, then it acts freely and homologically trivially on a finite CW-complex homotopy equivalent to a product of f+1 spheres. This shows, in particular, that every finite group acts freely and homologically trivially on some finite CW-complex homotopy equivalent to a product of spheres.
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