{
  "id": "0802.0185",
  "version": "v5",
  "published": "2008-02-01T19:04:49.000Z",
  "updated": "2008-11-04T02:48:57.000Z",
  "title": "Free Groups in Lattices",
  "authors": [
    "Lewis Bowen"
  ],
  "comment": "This version corrects a few typos. Version 4 is a major rewrite over version 3",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Let G be any locally compact, unimodular, metrizable group. The main result of this paper, roughly stated, is that if F<G is any finitely generated free group and \\Gamma < G any lattice, then up to a small perturbation and passing to a finite index subgroup, F is a subgroup of \\Gamma. If G/\\Gamma is noncompact then we require additional hypotheses that include G=SO(n,1).",
  "revisions": [
    {
      "version": "v5",
      "updated": "2008-11-04T02:48:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E07",
      "20F65",
      "20F67",
      "22D40",
      "20E05"
    ],
    "keywords": [
      "finite index subgroup",
      "main result",
      "finitely generated free group",
      "small perturbation",
      "additional hypotheses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0185B"
    }
  }
}