Browsing by Subject "Group Actions"

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    Constructing homologically trivial actions on products of spheres
    (Indiana University, 2013) Ünlü, Ö.; Yalçın, E.
    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 CWcomplex homotopy equivalent to a product of spheres.