{ "id": "1706.01387", "version": "v1", "published": "2017-06-05T15:59:31.000Z", "updated": "2017-06-05T15:59:31.000Z", "title": "Strongly aperiodic subshifts of finite type on hyperbolic groups", "authors": [ "David Bruce Cohen", "Chaim Goodmann-Strauss", "Yo'av Rieck" ], "comment": "54 pages, 16 figures", "categories": [ "math.GR", "math.DS" ], "abstract": "We prove that a hyperbolic group admits a strongly aperiodic subshift of finite type if and only if it has at most one end.", "revisions": [ { "version": "v1", "updated": "2017-06-05T15:59:31.000Z" } ], "analyses": { "subjects": [ "37B50", "20F65" ], "keywords": [ "strongly aperiodic subshift", "finite type", "hyperbolic group admits" ], "note": { "typesetting": "TeX", "pages": 54, "language": "en", "license": "arXiv", "status": "editable" } } }