{
  "id": "2204.06151",
  "version": "v1",
  "published": "2022-04-13T03:12:06.000Z",
  "updated": "2022-04-13T03:12:06.000Z",
  "title": "Pregroups and hyperbolicity",
  "authors": [
    "Jiayue Li",
    "Denis Serbin"
  ],
  "comment": "22 pages, 16 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we study hyperbolicty of the universal group $U(P)$ of a pregroup $P$. Given a finitely generated group $G$ and a pregroup $P$ such that $G \\simeq U(P)$, we provide a particular set of axioms on $P$ which ensure that $G$ is word-hyperbolic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-13T03:12:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "20E06"
    ],
    "keywords": [
      "hyperbolicity",
      "study hyperbolicty",
      "universal group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}