{
  "id": "math/0702783",
  "version": "v1",
  "published": "2007-02-26T14:53:08.000Z",
  "updated": "2007-02-26T14:53:08.000Z",
  "title": "On cyclic branched coverings of prime knots",
  "authors": [
    "M. Boileau",
    "L. Paoluzzi"
  ],
  "comment": "28 pages, 2 figures",
  "doi": "10.1112/jtopol/jtn011",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that a prime knot K is not determined by its p-fold cyclic branched cover for at most two odd primes p. Moreover, we show that for a given odd prime p, the p-fold cyclic branched cover of a prime knot K is the p-fold cyclic branched cover of at most one more knot K' non equivalent to K. To prove the main theorem, a result concerning the symmetries of knots is also obtained. This latter result can be interpreted as a characterisation of the trivial knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-26T14:53:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M12",
      "57M50"
    ],
    "keywords": [
      "prime knot",
      "p-fold cyclic branched cover",
      "cyclic branched coverings",
      "odd prime",
      "trivial knot"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2783B"
    }
  }
}