{ "id": "1309.6909", "version": "v2", "published": "2013-09-26T14:16:41.000Z", "updated": "2014-04-08T15:48:39.000Z", "title": "The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups", "authors": [ "Giovanni Gandini", "Sebastian Meinert", "Henrik Rueping" ], "categories": [ "math.GR" ], "abstract": "We show that the Farrell-Jones Conjecture holds for fundamental groups of graphs of groups with abelian vertex groups. As a special case, this shows that the conjecture holds for generalized Baumslag-Solitar groups.", "revisions": [ { "version": "v2", "updated": "2014-04-08T15:48:39.000Z" } ], "analyses": { "keywords": [ "fundamental groups", "abelian groups", "farrell-jones conjecture holds", "abelian vertex groups", "generalized baumslag-solitar groups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.6909G" } } }