{ "id": "math/0601242", "version": "v2", "published": "2006-01-11T09:40:32.000Z", "updated": "2008-09-26T15:12:33.000Z", "title": "A new proof that alternating links are non-trivial", "authors": [ "Iain Moffatt" ], "comment": "Minor changes. To appear in Fundamenta Mathematicae", "journal": "J. Knot Theory Ramifications 19 (2010) 821-828", "doi": "10.1142/S0218216510008157", "categories": [ "math.GT" ], "abstract": "We use a simple geometric argument and small cancellation properties of link groups to prove that alternating links are non-trivial. This proof uses only classic results in topology and combinatorial group theory.", "revisions": [ { "version": "v2", "updated": "2008-09-26T15:12:33.000Z" } ], "analyses": { "keywords": [ "alternating links", "non-trivial", "simple geometric argument", "combinatorial group theory", "small cancellation properties" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1242M" } } }