{ "id": "math/0012133", "version": "v1", "published": "2000-12-18T03:47:02.000Z", "updated": "2000-12-18T03:47:02.000Z", "title": "Invitation to higher local fields, Part I, section 2: p-primary part of the Milnor K-groups and Galois cohomology of fields of characteristic p", "authors": [ "Oleg Izhboldin" ], "comment": "For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-2.abs.html", "journal": "Geom. Topol. Monogr. Volume 3(2000) 19-29", "categories": [ "math.NT", "math.AG" ], "abstract": "For an arbitrary field p-torsion and cotorsion of the Milnor groups K_n(F) and K_n^{t}(F)=K_n(F)/\\cap_{l\\ge1} lK_n(F) are discussed. The work contains further discussions of an analogue of Satz 90 for K_n(F) and K_n^{t}(F) and computation of H^{n+1}_m(F) where F is either the rational function field in one variable F=k(t) or the formal power series F=k((t)).", "revisions": [ { "version": "v1", "updated": "2000-12-18T03:47:02.000Z" } ], "analyses": { "subjects": [ "19F99" ], "keywords": [ "higher local fields", "p-primary part", "milnor k-groups", "galois cohomology", "invitation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }