Eigenvalue fields of hyperbolic orbifolds

Hamilton, Emily; Reid, Alan

doi:10.1090/S0002-9939-04-07544-6

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 $\mathbb {Q}$.

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