{ "id": "0811.4211", "version": "v1", "published": "2008-11-26T02:59:25.000Z", "updated": "2008-11-26T02:59:25.000Z", "title": "On The Structure and Automorphism Group of Finite Alexander Quandles", "authors": [ "Amiel Ferman", "Tahl Nowik", "Mina Teicher" ], "comment": "16pp", "categories": [ "math.GT" ], "abstract": "We prove that an Alexander quandle of prime order is generated by any pair of distinct elements. Furthermore, we prove for such a quandle that any ordered pair of distinct elements can be sent to any other such pair by an automorphism of the quandle.", "revisions": [ { "version": "v1", "updated": "2008-11-26T02:59:25.000Z" } ], "analyses": { "subjects": [ "57M27", "57M25" ], "keywords": [ "finite alexander quandles", "automorphism group", "distinct elements", "prime order" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.4211F" } } }