{ "id": "math/0308171", "version": "v2", "published": "2003-08-18T20:15:36.000Z", "updated": "2004-11-13T15:54:10.000Z", "title": "The conjugacy problem for relatively hyperbolic groups", "authors": [ "Inna Bumagin" ], "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs.html", "journal": "Algebr. Geom. Topol. 4 (2004) 1013-1040", "categories": [ "math.GR", "math.GT" ], "abstract": "Solvability of the conjugacy problem for relatively hyperbolic groups was announced by Gromov [Hyperbolic groups, MSRI publications 8 (1987)]. Using the definition of Farb of a relatively hyperbolic group in the strong sense [B Farb, Relatively hyperbolic groups, Geom. Func. Anal. 8 (1998) 810-840], we prove this assertion. We conclude that the conjugacy problem is solvable for fundamental groups of complete, finite-volume, negatively curved manifolds, and for finitely generated fully residually free groups.", "revisions": [ { "version": "v2", "updated": "2004-11-13T15:54:10.000Z" } ], "analyses": { "subjects": [ "20F67", "20F10" ], "keywords": [ "relatively hyperbolic group", "conjugacy problem", "strong sense", "fundamental groups", "msri publications" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }