{ "id": "1012.5631", "version": "v4", "published": "2010-12-27T15:48:55.000Z", "updated": "2011-02-09T15:11:08.000Z", "title": "The Bloch-Kato Conjecture and Galois Theory", "authors": [ "Dikran Karagueuzian", "John Labute", "Jan Minac" ], "comment": "Corrected typos", "categories": [ "math.NT", "math.GR", "math.KT" ], "abstract": "We investigate the relations in Galois groups of maximal p-extensions of fields, the structure of their natural filtrations, and their relationship with the Bloch-Kato conjecture proved by Rost and Voevodsky with Weibel's patch. Our main focus is on the third degree, but we provide examples for all degrees.", "revisions": [ { "version": "v4", "updated": "2011-02-09T15:11:08.000Z" } ], "analyses": { "subjects": [ "11R32", "11R70", "20F40", "20F14" ], "keywords": [ "bloch-kato conjecture", "galois theory", "galois groups", "third degree", "main focus" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1012.5631K" } } }