{
  "id": "1809.10594",
  "version": "v1",
  "published": "2018-09-27T16:02:34.000Z",
  "updated": "2018-09-27T16:02:34.000Z",
  "title": "Hyperbolic groups with almost finitely presented subgroups",
  "authors": [
    "Robert Kropholler"
  ],
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "In this paper we create many examples of hyperbolic groups with subgroups satisfying interesting finiteness properties. We give the first examples of subgroups of hyperbolic groups which are of type $FP_2$ but not finitely presented. We give uncountably many groups of type $FP_2$ with similar properties to those subgroups of hyperbolic groups. Along the way we create more subgroups of hyperbolic groups which are finitely presented but not of type $FP_3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-27T16:02:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "hyperbolic groups",
      "subgroups satisfying interesting finiteness properties",
      "similar properties",
      "first examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}