{
  "id": "1809.04761",
  "version": "v1",
  "published": "2018-09-13T04:01:48.000Z",
  "updated": "2018-09-13T04:01:48.000Z",
  "title": "Hyperbolic Immersions of Free Groups",
  "authors": [
    "Jean Pierre Mutanguha"
  ],
  "comment": "19 pages, 4 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that the mapping torus of a graph immersion has word-hyperbolic fundamental group if and only if the corresponding endomorphism doesn't produce Baumslag-Solitar subgroups. Due to a result by Reynolds, this theorem applies to all nonsurjective fully irreducible endomorphisms. We also give a framework for proving the general statement without the immersion assumption.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-13T04:01:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20E05",
      "20F67"
    ],
    "keywords": [
      "free groups",
      "hyperbolic immersions",
      "word-hyperbolic fundamental group",
      "produce baumslag-solitar subgroups",
      "immersion assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}