Constructing homologically trivial actions on products of spheres

2012/03/27 by Unlu, Ozgun, Yalcin, Ergun
#Algebraic Topology (math.AT) #FOS: Mathematics #Primary: 57S25 #Secondary: 55R91

paper · doi:10.48550/arxiv.1203.5882

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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