{ "id": "1001.4396", "version": "v1", "published": "2010-01-25T11:52:15.000Z", "updated": "2010-01-25T11:52:15.000Z", "title": "Remark on the Alexander polynomials of periodic knots", "authors": [ "Manabu Ozaki" ], "categories": [ "math.GT", "math.NT" ], "abstract": "We will show that if $K$ is a knot of prime period $p>2$ and whose Alexander polynomial $\\Delta_K(t)$ is monic and of degree $p-1$, then $\\Delta_K(t)$ is uniquely determined only by $p$.", "revisions": [ { "version": "v1", "updated": "2010-01-25T11:52:15.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "alexander polynomial", "periodic knots", "prime period" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }