{
  "id": "2204.13377",
  "version": "v1",
  "published": "2022-04-28T09:40:19.000Z",
  "updated": "2022-04-28T09:40:19.000Z",
  "title": "Acylindrical hyperbolicity for Artin groups associated to graphs that are not cones",
  "authors": [
    "Motoko Kato",
    "Shin-ichi Oguni"
  ],
  "comment": "22 pages, 6 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "Charney and Morris-Wright showed acylindrical hyperbolicity for Artin groups of infinite type associated to graphs that are not joins, by studying clique-cube complexes and actions on them. In this paper, by developing their study with additional discussion, we show acylindrical hyperbolicity for more general Artin groups. Indeed we treat Artin groups of infinite type associated to graphs that are not cones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-28T09:40:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F65",
      "20F67"
    ],
    "keywords": [
      "infinite type",
      "treat artin groups",
      "general artin groups",
      "morris-wright showed acylindrical hyperbolicity",
      "studying clique-cube complexes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}