2017/09/11 by Chirivi', Rocco, Spreafico, Mauro
#20CXX #52B15 #57M07 #57N65 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1709.03335
The orbit polytope for a finite group G acting linearly and freely on a sphere S is used to construct a cellularized fundamental domain for the action. A resolution of the integers over G results from the associated G-equivariant cellularization of S. This technique is applied to the generalized binary tetrahedral group family; the homology groups, the cohomology rings and the Reidemeister torsions of the related spherical space forms are determined.