{ "id": "1508.01265", "version": "v1", "published": "2015-08-06T02:30:38.000Z", "updated": "2015-08-06T02:30:38.000Z", "title": "Groups Acting on Metric Spaces with Asymptotic Property C", "authors": [ "Susan Beckhardt" ], "categories": [ "math.GT", "math.MG" ], "abstract": "We show that if a group $G$ acts by isometries on a metric space $M$ which has asymptotic property C, such that the quasi-stabilizers of a point $x \\in M$ have asymptotic dimension less than or equal to $n$, then $G$ itself has asymptotic property C.", "revisions": [ { "version": "v1", "updated": "2015-08-06T02:30:38.000Z" } ], "analyses": { "keywords": [ "asymptotic property", "metric space", "groups acting", "asymptotic dimension" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150801265B" } } }