{ "id": "1008.2911", "version": "v2", "published": "2010-08-17T14:57:23.000Z", "updated": "2011-03-13T11:27:08.000Z", "title": "Simple groups without lattices", "authors": [ "Uri Bader", "Pierre-Emmanuel Caprace", "Tsachik Gelander", "Shahar Mozes" ], "comment": "17 pages. Revised according to referee's report", "journal": "Bull. Lond. Math. Soc. 44 (2012), no. 1, 55-67", "doi": "10.1112/blms/bdr061", "categories": [ "math.GR" ], "abstract": "We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.", "revisions": [ { "version": "v2", "updated": "2011-03-13T11:27:08.000Z" } ], "analyses": { "subjects": [ "22E40", "20E08" ], "keywords": [ "simple groups", "simple locally compact groups", "d-regular tree", "admit lattices" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1008.2911B" } } }