{
  "id": "0706.3021",
  "version": "v3",
  "published": "2007-06-20T16:35:08.000Z",
  "updated": "2007-11-23T16:47:44.000Z",
  "title": "Independence property and hyperbolic groups",
  "authors": [
    "Eric Jaligot",
    "Alexey Muranov",
    "Azadeh Neman"
  ],
  "comment": "v3: 10 pages (11pt), a few typos corrected, minor rearrangements (e.g. Fact 2.3 and Lemma 2.5); v2: 8 pages (10pt), a false statement in the proof of Fact 2.4 is replaced with a true one; v1: 8 pages",
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We prove that existentially closed $CSA$-groups have the independence property. This is done by showing that there exist words having the independence property relatively to the class of torsion-free hyperbolic groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-11-23T16:47:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "20F06",
      "20F67"
    ],
    "keywords": [
      "torsion-free hyperbolic groups",
      "independence property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3021J"
    }
  }
}