{ "id": "math/0701937", "version": "v4", "published": "2007-01-31T19:31:01.000Z", "updated": "2007-09-05T23:32:16.000Z", "title": "A presentation for Aut(F_n)", "authors": [ "Heather Armstrong", "Bradley Forrest", "Karen Vogtmann" ], "comment": "Missing relation added. Final version to appear in Journal of Group Theory", "categories": [ "math.GR" ], "abstract": "We study the action of the group Aut(F_n) of automorphisms of a finitely generated free group on the degree 2 subcomplex of the spine of Auter space. Hatcher and Vogtmann showed that this subcomplex is simply connected, and we use the method described by K. S. Brown to deduce a new presentation of Aut(F_n).", "revisions": [ { "version": "v4", "updated": "2007-09-05T23:32:16.000Z" } ], "analyses": { "subjects": [ "20F05", "20F28" ], "keywords": [ "presentation", "finitely generated free group", "subcomplex", "auter space", "automorphisms" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......1937A" } } }