Small Covers of the Dodecahedron and the 120-cell

A. Garrison; R. Scott

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arXiv · math/0107116

Small Covers of the Dodecahedron and the 120-cell

A. Garrison·R. Scott

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Abstract

Let P be the right-angled dodecahedron or 120-cell in hyperbolic space, and let W be the group generated by reflections across codimension-one faces of P. We prove that if Gamma is a torsion-free subgroup of minimal index in W, then the corresponding hyperbolic manifold H^n/Gamma is determined up to homeomorphism by Gamma (modulo symmetries of P).

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A. Garrison, R. Scott. 2001-07-18. Small Covers of the Dodecahedron and the 120-cell. https://arxiv.org/abs/math/0107116

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