{
  "id": "2006.09018",
  "version": "v1",
  "published": "2020-06-16T09:35:25.000Z",
  "updated": "2020-06-16T09:35:25.000Z",
  "title": "Hyperbolicity of T(6) Cyclically Presented Groups",
  "authors": [
    "Ihechukwu Chinyere",
    "Gerald Williams"
  ],
  "comment": "18 pages, 8 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify when these groups are hyperbolic. When combined with known results, this completely classifies the hyperbolic T(6) cyclically presented groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-16T09:35:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20F06",
      "20F67"
    ],
    "keywords": [
      "hyperbolicity",
      "small cancellation condition",
      "cyclic presentation satisfies",
      "defining word"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}