{ "id": "1005.0823", "version": "v1", "published": "2010-05-05T19:36:09.000Z", "updated": "2010-05-05T19:36:09.000Z", "title": "About the metric approximation of Higman's group", "authors": [ "Andreas Thom" ], "comment": "9 pages, no figures", "categories": [ "math.GR", "math.OA" ], "abstract": "We prove that Higman's group does not embed into a metric ultraproduct of finite groups with a commutator-contractive invariant length function.", "revisions": [ { "version": "v1", "updated": "2010-05-05T19:36:09.000Z" } ], "analyses": { "subjects": [ "20F65" ], "keywords": [ "higmans group", "metric approximation", "commutator-contractive invariant length function", "finite groups" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1005.0823T" } } }