{
  "id": "math/9812067",
  "version": "v3",
  "published": "1998-12-11T04:33:03.000Z",
  "updated": "2002-05-26T18:38:03.000Z",
  "title": "Injectivity radii of hyperbolic polyhedra",
  "authors": [
    "Joseph D. Masters"
  ],
  "comment": "14 pages, 9 figures. Replaced with published version",
  "journal": "Pacific J. Math. 197 (2001), no. 2, 369--382",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We define the injectivity radius of a Coxeter polyhedron in H^3 to be half the shortest translation length among hyperbolic/loxodromic elements in the orientation-preserving reflection group. We show that, for finite-volume polyhedra, this number is always less than 2.6339..., and for compact polyhedra it is always less than 2.1225... .",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-05-26T18:38:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "20F55",
      "22E40"
    ],
    "keywords": [
      "injectivity radius",
      "hyperbolic polyhedra",
      "shortest translation length",
      "coxeter polyhedron",
      "compact polyhedra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....12067M"
    }
  }
}