{ "id": "0911.4266", "version": "v4", "published": "2009-11-22T17:23:29.000Z", "updated": "2012-04-24T17:07:50.000Z", "title": "An introduction to hyperlinear and sofic groups", "authors": [ "Vladimir G. Pestov", "Aleksandra Kwiatkowska" ], "comment": "30 pages, 1 figure, latex 2e; a final revision for the volume \"Appalachian Set Theory 2006-2009\" (James Cummings and Ernest Schimmerling, eds.), to appear in the London Mathematical Society Lecture Notes Series, Cambridge University Press (2012). Compared to the previous version, a few references were added, and a misstated result by Osin and Thomas was corrected", "journal": "In: \"Appalachian Set Theory 2006-2012\" (James Cummings and Ernest Schimmerling, eds.), London Mathematical Society Lecture Notes Series 406, Cambridge University Press (2012), pp. 145-186", "categories": [ "math.GR" ], "abstract": "This is an edited write-up of lecture notes of the 7-th Appalachian set theory workshop of the same title led by the first named author at the Cornell University on November 22, 2008. A draft version of the notes was prepared by the second named author. This presentation is largely complementary to the earlier survey by the first-named author (Hyperlinear and sofic groups: a brief guide, Bull. Symb. Logic 14 (2008), pp. 449-480; arXiv:0804.3968v8 [math.GR]).", "revisions": [ { "version": "v4", "updated": "2012-04-24T17:07:50.000Z" } ], "analyses": { "subjects": [ "03C20", "20F69", "37B10", "46L10" ], "keywords": [ "sofic groups", "hyperlinear", "introduction", "appalachian set theory workshop", "lecture notes" ], "tags": [ "journal article", "lecture notes" ], "note": { "typesetting": "LaTeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.4266P" } } }