{ "id": "1111.3134", "version": "v2", "published": "2011-11-14T08:30:40.000Z", "updated": "2012-03-31T13:57:39.000Z", "title": "Some remarks on topological full groups of Cantor minimal systems II", "authors": [ "Hiroki Matui" ], "comment": "8 pages", "categories": [ "math.DS", "math.GR" ], "abstract": "We prove that commutator subgroups of topological full groups arising from minimal subshifts have exponential growth. We also prove that the measurable full group associated to the countable, measure-preserving, ergodic and hyperfinite equivalence relation is topologically generated by two elements.", "revisions": [ { "version": "v2", "updated": "2012-03-31T13:57:39.000Z" } ], "analyses": { "subjects": [ "37B10" ], "keywords": [ "cantor minimal systems", "hyperfinite equivalence relation", "minimal subshifts", "exponential growth", "commutator subgroups" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.3134M" } } }