{
  "id": "2309.16860",
  "version": "v1",
  "published": "2023-09-28T21:21:49.000Z",
  "updated": "2023-09-28T21:21:49.000Z",
  "title": "Hyperbolicity in non-metric cubical small-cancellation",
  "authors": [
    "Macarena Arenas",
    "Kasia Jankiewicz",
    "Daniel T. Wise"
  ],
  "comment": "19 pages, 7 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "Given a non-positively curved cube complex $X$, we prove that the quotient of $\\pi_1X$ defined by a cubical presentation $\\langle X\\mid Y_1,\\dots, Y_s\\rangle$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that $\\pi_1X$ is hyperbolic. This generalises the fact that finitely presented classical $C(7)$ small-cancellation groups are hyperbolic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-28T21:21:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F06",
      "20F67",
      "20F65"
    ],
    "keywords": [
      "sufficient non-metric cubical small-cancellation conditions",
      "hyperbolicity",
      "satisfying sufficient non-metric cubical small-cancellation",
      "non-positively curved cube complex",
      "small-cancellation groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}