{
  "id": "0910.0267",
  "version": "v4",
  "published": "2009-10-02T16:50:31.000Z",
  "updated": "2010-01-06T17:32:31.000Z",
  "title": "On normal subgroups of an amalgamated product of groups with applications to knot theory",
  "authors": [
    "John G. Ratcliffe"
  ],
  "comment": "Some new references have been added to v3",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "In this paper, we give some necessary and sufficient conditions for a normal subgroup of an amalgamated product of groups to be finitely generated. We apply these conditions together with Stallings' fibering theorem to prove that an irreducible multilink in a homology 3-sphere fibers if and only if each of its multilink splice components fibers.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-01-06T17:32:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E06",
      "57M25"
    ],
    "keywords": [
      "normal subgroup",
      "amalgamated product",
      "knot theory",
      "applications",
      "multilink splice components fibers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.0267R"
    }
  }
}