{
  "id": "math/0510224",
  "version": "v1",
  "published": "2005-10-11T13:37:48.000Z",
  "updated": "2005-10-11T13:37:48.000Z",
  "title": "Twisted Alexander polynomials and surjectivity of a group homomorphism",
  "authors": [
    "Teruaki Kitano",
    "Masaaki Suzuki",
    "Masaaki Wada"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-51.abs.html",
  "journal": "Algebr. Geom. Topol. 5 (2005) 1315-1324",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "If phi: G-->G' is a surjective homomorphism, we prove that the twisted Alexander polynomial of G is divisible by the twisted Alexander polynomial of G'. As an application, we show non-existence of surjective homomorphism between certain knot groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-11T13:37:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M05"
    ],
    "keywords": [
      "twisted alexander polynomial",
      "group homomorphism",
      "surjectivity",
      "surjective homomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}