{ "id": "math/0608685", "version": "v3", "published": "2006-08-28T10:58:55.000Z", "updated": "2009-07-29T14:21:30.000Z", "title": "On the residual finiteness of outer automorphisms of relatively hyperbolic groups", "authors": [ "V. Metaftsis", "M. Sykiotis" ], "comment": "11 pages, 1 figure. Section 3 is replaced by Theorem 1.3. More detailed arguments. Added new references. To appear in Journal of Pure and Applied Algebra", "categories": [ "math.GR", "math.GT" ], "abstract": "We show that every virtually torsion-free subgroup of the outer automorphism group of a conjugacy separable relatively hyperbolic group is residually finite. As a direct consequence, we obtain that the outer automorphism group of a limit group is residually finite.", "revisions": [ { "version": "v3", "updated": "2009-07-29T14:21:30.000Z" } ], "analyses": { "subjects": [ "20F65", "20F67", "20E26", "20E36", "20F28" ], "keywords": [ "residual finiteness", "outer automorphism group", "conjugacy separable relatively hyperbolic group", "residually finite", "limit group" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......8685M" } } }