{ "id": "1710.10542", "version": "v1", "published": "2017-10-29T00:43:26.000Z", "updated": "2017-10-29T00:43:26.000Z", "title": "On stable commutator length in two-dimensional right-angled Artin groups", "authors": [ "Max Forester", "Ignat Soroko", "Jing Tao" ], "comment": "14 pages, 4 figures", "categories": [ "math.GR", "math.GT" ], "abstract": "We show that in any two-dimensional right-angled Artin group, every non-trivial element has stable commutator length at least 1/20.", "revisions": [ { "version": "v1", "updated": "2017-10-29T00:43:26.000Z" } ], "analyses": { "subjects": [ "57M07", "20F65", "20F67" ], "keywords": [ "two-dimensional right-angled artin group", "stable commutator length", "non-trivial element" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }