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Eigenvalue fields of hyperbolic orbifolds

Authors:	Emily Hamilton Alan W Reid

Institution:	Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322 ; Department of Mathematics, University of Texas, Austin, Texas 78712

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 $\mathbb{Q}$ .

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