{
  "id": "0909.3275",
  "version": "v1",
  "published": "2009-09-17T17:12:13.000Z",
  "updated": "2009-09-17T17:12:13.000Z",
  "title": "Knot Groups with Many Killers",
  "authors": [
    "Daniel S. Silver",
    "Wilbur Whitten",
    "Susan G. Williams"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "The group of any nontrivial torus knot, hyperbolic 2-bridge knot, or hyperbolic knot with unknotting number one contains infinitely many elements, none the automorphic image of another, such that each normally generates the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-17T17:12:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "20E34"
    ],
    "keywords": [
      "knot groups",
      "nontrivial torus knot",
      "hyperbolic knot",
      "automorphic image"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3275S"
    }
  }
}