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arXiv · 1709.03335

Space Forms and Group Resolutions: the tetrahedral family

Rocco Chirivi'·Mauro Spreafico
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Abstract

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.

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Rocco Chirivi', Mauro Spreafico. 2017-09-11. Space Forms and Group Resolutions: the tetrahedral family. https://arxiv.org/abs/1709.03335

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