{
  "id": "1512.07526",
  "version": "v1",
  "published": "2015-12-23T15:55:00.000Z",
  "updated": "2015-12-23T15:55:00.000Z",
  "title": "Acylindrical hyperbolicity for groups acting on complexes with large links",
  "authors": [
    "Alexandre Martin"
  ],
  "comment": "11 pages, 1 figure",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a criterion for acylindrical hyperbolicity in the case of groups acting on polyhedral complexes with some vertices having unbounded links, generalising a criterion of Minasyan--Osin for actions on simplicial trees. As an application, we prove that the subgroup $\\mbox{Tame}(\\mbox{SL}_2)$ of the $3$-dimensional Cremona group $\\mbox{Bir}(\\mathbb{P}^3(\\mathbb{C}))$ is acylindrically hyperbolic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-23T15:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "acylindrical hyperbolicity",
      "groups acting",
      "large links",
      "dimensional cremona group",
      "simplicial trees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151207526M"
    }
  }
}