{ "id": "math/0408299", "version": "v1", "published": "2004-08-22T20:56:02.000Z", "updated": "2004-08-22T20:56:02.000Z", "title": "Finiteness properties of arithmetic groups over function fields", "authors": [ "Kai-Uwe Bux", "Kevin Wortman" ], "comment": "33 pages", "categories": [ "math.GR", "math.GT" ], "abstract": "We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP_\\infty by comparing its large-scale geometry to the large-scale geometry of lattices in real semisimple Lie groups.", "revisions": [ { "version": "v1", "updated": "2004-08-22T20:56:02.000Z" } ], "analyses": { "subjects": [ "20G30", "15A54", "20F65", "20F69", "20J06", "22E40" ], "keywords": [ "arithmetic groups", "finiteness properties", "large-scale geometry", "real semisimple lie groups", "global function field" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......8299B" } } }