{ "id": "0909.3115", "version": "v2", "published": "2009-09-16T21:46:54.000Z", "updated": "2009-12-15T20:41:18.000Z", "title": "Field patching, factorization and local-global principles", "authors": [ "Daniel Krashen" ], "comment": "31 pages", "categories": [ "math.AG", "math.RA" ], "abstract": "In this paper we first describe the method of field patching, developed by Harbater and Hartmann, paying special attention to the relationship between factorization and local-global principles, and second, we extend the basic factorization result previously known for rational groups to the case of retract rational groups.", "revisions": [ { "version": "v2", "updated": "2009-12-15T20:41:18.000Z" } ], "analyses": { "subjects": [ "12E30", "14H05" ], "keywords": [ "local-global principles", "field patching", "retract rational groups", "basic factorization result", "paying special attention" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0909.3115K" } } }