{ "id": "0809.0467", "version": "v2", "published": "2008-09-02T16:38:14.000Z", "updated": "2011-11-04T17:37:28.000Z", "title": "Notes on Sela's work: Limit groups and Makanin-Razborov diagrams", "authors": [ "Mladen Bestvina", "Mark Feighn" ], "comment": "33 pages, 2 figures", "journal": "Geometric and Cohomological Methods in Group Theory, LMS Lecture Note Series, No. 358(2009), 1-29", "categories": [ "math.GR", "math.GT" ], "abstract": "This is the first in a planned series of papers giving an alternate approach to Zlil Sela's work on the Tarski problems. The present paper is an exposition of work of Kharlampovich-Myasnikov and Sela giving a parametrization of Hom(G,F) where G is a finitely generated group and F is a non-abelian free group.", "revisions": [ { "version": "v2", "updated": "2011-11-04T17:37:28.000Z" } ], "analyses": { "subjects": [ "20F65", "20E05" ], "keywords": [ "makanin-razborov diagrams", "limit groups", "non-abelian free group", "zlil selas work", "alternate approach" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0809.0467B" } } }