{
  "id": "math/9907139",
  "version": "v1",
  "published": "1999-07-22T13:48:59.000Z",
  "updated": "1999-07-22T13:48:59.000Z",
  "title": "Constructing Hyperbolic Manifolds",
  "authors": [
    "Brent Everitt",
    "Colin Maclachlan"
  ],
  "comment": "8 pages, proceedings Edinburgh",
  "journal": "In, Computational & Geometric Aspects of Modern Algebra, (M Atkinson, N Gilbert, editors) Proc ICMS Workshop, Edinburgh 1998, LMS Lecture Note Series, 275 (2000) 78-86",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-07-22T13:48:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "constructing hyperbolic manifolds",
      "representation",
      "hyperbolic n-manifold",
      "classical groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......7139E"
    }
  }
}