{ "id": "math/0405462", "version": "v1", "published": "2004-05-24T19:08:01.000Z", "updated": "2004-05-24T19:08:01.000Z", "title": "Knot Group Epimorphisms", "authors": [ "Daniel S. Silver", "Wilbur Whitten" ], "comment": "Plain TeX, 15 pages with 4 figures", "categories": [ "math.GT" ], "abstract": "Any knot group is the image of the group of a prime knot by a homomorphism that preserves peripheral structure. In fact, there are infinitely many such prime knots. A related partial order on knots is defined, and its properties are discussed.", "revisions": [ { "version": "v1", "updated": "2004-05-24T19:08:01.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "knot group epimorphisms", "prime knot", "preserves peripheral structure", "related partial order", "homomorphism" ], "note": { "typesetting": "Plain TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......5462S" } } }