{
  "id": "1310.6289",
  "version": "v3",
  "published": "2013-10-23T16:49:13.000Z",
  "updated": "2014-10-21T12:45:16.000Z",
  "title": "Acylindrical hyperbolicity of groups acting on trees",
  "authors": [
    "Ashot Minasyan",
    "Denis Osin"
  ],
  "comment": "45 pages. v3: minor changes incorporating referee's comments",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and graph products. Acylindrical hyperbolicity is then used to obtain some results about the algebraic structure, analytic properties and measure equivalence rigidity of groups from these classes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-04T18:58:51.000Z",
      "comment": "45 pages. v2: removed Corollary 2.12 as it was already known; made a few other minor changes",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-21T12:45:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20F65",
      "20E08",
      "20E34",
      "20E06",
      "57M05"
    ],
    "keywords": [
      "acylindrical hyperbolicity",
      "groups acting",
      "measure equivalence rigidity",
      "simplicial trees",
      "automorphism groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6289M"
    }
  }
}