{ "id": "1609.03950", "version": "v1", "published": "2016-09-13T17:39:47.000Z", "updated": "2016-09-13T17:39:47.000Z", "title": "The verbal width of acylindrically hyperbolic groups is infinite", "authors": [ "Mladen Bestvina", "Ken Bromberg", "Koji Fujiwara" ], "categories": [ "math.GR", "math.GT" ], "abstract": "We show that the verbal width is infinite for acylindrically hyperbolic groups, which include hyperbolic groups, mapping class groups and Out(Fn).", "revisions": [ { "version": "v1", "updated": "2016-09-13T17:39:47.000Z" } ], "analyses": { "keywords": [ "acylindrically hyperbolic groups", "verbal width", "mapping class groups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }