{
  "id": "math/0205157",
  "version": "v2",
  "published": "2002-05-14T14:49:26.000Z",
  "updated": "2003-06-17T11:50:06.000Z",
  "title": "Coxeter groups and hyperbolic manifolds",
  "authors": [
    "Brent Everitt"
  ],
  "comment": "No major changes, just some minor improvements and corrections",
  "journal": "Mathematische Annalen 330 (2004) 127-150",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "The rich theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic n-manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest possible volume.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-06-17T11:50:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coxeter groups",
      "hyperbolic manifolds",
      "finite volume hyperbolic n-manifolds",
      "small volume",
      "rich theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5157E"
    }
  }
}