English

Constructing Hyperbolic Manifolds

Geometric Topology 2007-06-13 v1 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/9907139,
  title  = {Constructing Hyperbolic Manifolds},
  author = {Brent Everitt and Colin Maclachlan},
  journal= {arXiv preprint arXiv:math/9907139},
  year   = {2007}
}

Comments

8 pages, proceedings Edinburgh