{
  "id": "math/0209058",
  "version": "v2",
  "published": "2002-09-06T18:17:46.000Z",
  "updated": "2003-07-25T19:32:59.000Z",
  "title": "Relative hyperbolicity and Artin groups",
  "authors": [
    "Ilya Kapovich",
    "Paul Schupp"
  ],
  "comment": "Revised final version, to appear in Geometriae Dedicata. The paper contains four figures that will not show correctly in the DVI file since they are incorporated using psfrag. Print a PostScript or a PDF version instead",
  "categories": [
    "math.GR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let $G=<a_1,..., a_n | a_ia_ja_i... = a_ja_ia_j..., i<j>$ be an Artin group and let $m_{ij}=m_{ji}$ be the length of each of the sides of the defining relation involving $a_i$ and $a_j$. We show if all $m_{ij}\\ge 7$ then $G$ is relatively hyperbolic in the sense of Farb with respect to the collection of its two-generator subgroups $<a_i, a_j>$ for which $m_{ij}<\\infty$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-25T19:32:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "artin group",
      "relative hyperbolicity",
      "two-generator subgroups",
      "defining relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9058K"
    }
  }
}