{
  "id": "1802.01658",
  "version": "v1",
  "published": "2018-02-05T20:48:11.000Z",
  "updated": "2018-02-05T20:48:11.000Z",
  "title": "Almost Hyperbolic Groups with Almost Finitely Presented Subgroups",
  "authors": [
    "Robert Kropholler"
  ],
  "comment": "22 pages, 5 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We construct new examples of CAT(0) groups containing non finitely presented subgroups that are of type $FP_2$, these CAT(0) groups do not contain copies of $\\mathbb{Z}^3$. We also give a construction of groups which are of type $F_n$ but not $F_{n+1}$ with no free abelian subgroups of rank greater than $\\lceil\\frac{n}{3}\\rceil$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-05T20:48:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "hyperbolic groups",
      "free abelian subgroups",
      "groups containing non",
      "rank greater",
      "contain copies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}