{ "id": "1506.04532", "version": "v1", "published": "2015-06-15T09:43:32.000Z", "updated": "2015-06-15T09:43:32.000Z", "title": "Long turns, INP's and index for free group automorphisms", "authors": [ "Thierry Coulbois", "Martin Lustig" ], "comment": "25 pages", "categories": [ "math.GR" ], "abstract": "The goal of this paper is to introduce a new tool, called {\\em long turns}, which is a useful addition to the train track technology for automorphisms of free groups, in that it allows one to control periodic INPs in a train track map and hence the index of the induced automorphism.", "revisions": [ { "version": "v1", "updated": "2015-06-15T09:43:32.000Z" } ], "analyses": { "subjects": [ "20E05", "20E08", "20F65", "57R30" ], "keywords": [ "free group automorphisms", "long turns", "train track technology", "control periodic inps", "train track map" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150604532C" } } }