{ "id": "math/0402060", "version": "v1", "published": "2004-02-04T14:37:59.000Z", "updated": "2004-02-04T14:37:59.000Z", "title": "On the conjugacy problem for cyclic extensions of free groups", "authors": [ "Valerij Bardakov", "Leonid Bokut", "Andrei Vesnin" ], "comment": "18 pages", "categories": [ "math.GR" ], "abstract": "We study the conjugacy problem in cyclic extensions of free groups. It is shown that the conjugacy problem is solvable in split extensions of finitely generated free groups by virtually inner automorphisms. An algorithm for construction of the unique representative (the conjugacy normal form) for each conjugacy class is given.", "revisions": [ { "version": "v1", "updated": "2004-02-04T14:37:59.000Z" } ], "analyses": { "subjects": [ "20F10" ], "keywords": [ "conjugacy problem", "cyclic extensions", "conjugacy normal form", "split extensions", "finitely generated free groups" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......2060B" } } }