Small covers of the dodecahedron and the $120$-cell
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- by Anne Garrison and Richard Scott PDF
- Proc. Amer. Math. Soc. 131 (2003), 963-971 Request permission
Abstract:
Let $P$ be the right-angled hyperbolic dodecahedron or $120$-cell, and let $W$ be the group generated by reflections across codimension-one faces of $P$. We prove that if $\Gamma \subset W$ is a torsion free subgroup of minimal index, then the corresponding hyperbolic manifold ${\mathbb H}^n/\Gamma$ is determined up to home omorphism by $\Gamma$ modulo symmetries of $P$.References
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Additional Information
- Anne Garrison
- Affiliation: Department of Mathematics and Computer Science, Santa Clara University, Santa Clara, California 95053
- Email: agarriso@math.scu.edu
- Richard Scott
- Affiliation: Department of Mathematics and Computer Science, Santa Clara University, Santa Clara, California 95053
- Email: rscott@math.scu.edu
- Received by editor(s): July 19, 2001
- Received by editor(s) in revised form: October 22, 2001
- Published electronically: June 18, 2002
- Additional Notes: The second author was supported by an Arthur Vining Davis Fellowship from Santa Clara University
- Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 963-971
- MSC (2000): Primary 57M50
- DOI: https://doi.org/10.1090/S0002-9939-02-06577-2
- MathSciNet review: 1937435