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arxiv: math/9907139 · v1 · submitted 1999-07-22 · 🧮 math.GT · math.GR

Constructing Hyperbolic Manifolds

classification 🧮 math.GT math.GR
keywords groupshyperbolicactingcertainclassicalconstructingcoxeterdetermine
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In this paper we show how to obtain representations of Coxeter groups acting on H^n to certain classical groups. We determine when the kernel of such a representation is torsion-free and thus the quotient a hyperbolic n-manifold.

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