{ "id": "math/0305352", "version": "v1", "published": "2003-05-25T14:01:44.000Z", "updated": "2003-05-25T14:01:44.000Z", "title": "On sofic groups", "authors": [ "G. Elek", "E. Szabo" ], "comment": "11 pages", "categories": [ "math.GR" ], "abstract": "Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group that is not residually amenable.", "revisions": [ { "version": "v1", "updated": "2003-05-25T14:01:44.000Z" } ], "analyses": { "subjects": [ "43A07", "20E06" ], "keywords": [ "free product", "finitely generated sofic group", "amenable extensions" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......5352E" } } }