Eigenvalue fields of hyperbolic orbifolds
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- by Emily Hamilton and Alan W. Reid PDF
- Proc. Amer. Math. Soc. 132 (2004), 2497-2503 Request permission
Abstract:
In this paper, we prove that if $\Gamma$ is a non-elementary subgroup of $\mathrm {O}_{\mathrm {o}}(n,1,\mathbb {R})$, with $n\ge 2$, then the eigenvalue field of $\Gamma$ has infinite degree over $\mathbb {Q}$.References
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Additional Information
- Emily Hamilton
- Affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322
- Email: emh@mathcs.emory.edu
- Alan W. Reid
- Affiliation: Department of Mathematics, University of Texas, Austin, Texas 78712
- MR Author ID: 146355
- Email: areid@math.utexas.edu
- Received by editor(s): January 15, 2001
- Published electronically: April 21, 2004
- Additional Notes: The first author was partially supported by NSF Grant DMS 9973317
The second author was partially supported by the NSF and the Alfred P. Sloan Foundation. - Communicated by: Linda Keen
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2497-2503
- MSC (2000): Primary 20H10; Secondary 20G30
- DOI: https://doi.org/10.1090/S0002-9939-04-07544-6
- MathSciNet review: 2054772