Galois cohomology of special orthogonal groups.
Galois cohomology of the classical gorups over fields of cohomological dimension ... 2.
Galois modules and embedding problems.
Galoismoduln mit Hasse-Prinzip.
Generalized Kummer theory and its applications
In this report we study the arithmetic of Rikuna’s generic polynomial for the cyclic group of order and obtain a generalized Kummer theory. It is useful under the condition that and where is a primitive -th root of unity and . In particular, this result with implies the classical Kummer theory. We also present a method for calculating not only the conductor but also the Artin symbols of the cyclic extension which is defined by the Rikuna polynomial.
Global restrictions on ramification in number fields.
Graded Witt Rings of Elementary Type.
Higher fields of norms and -modules.
Invarianten hermitescher Formen über Schiefkörpern.
Isotropy of quadratic forms over function fields of -adic curves
Isotropy of quadratic spaces in finite and infinite dimension.
et le groupe de Brauer
K2-Cohomology and the Second Chow Group.
Kneser and Hereditarily Kneser Subgroups of a Profinite Group
2000 Mathematics Subject Classification: 20E18, 12G05, 12F10, 12F99.Given a profinite group Γ acting continuously on a discrete quasi-cyclic group A, certain classes of closed subgroups of Γ (radical, hereditarily radical, Kneser, almost Kneser, and hereditarily Kneser) having natural field theoretic interpretations are defined and investigated. One proves that the hereditarily Kneser subgroups of Γ form a closed subspace of the irreducible spectral space of all closed subgroups of Γ, and a hereditarily...
La conjecture de Milnor
L'anneau de Milnor d'un corps local à corps résiduel parfait
Soit un corps complet pour une valuation discrète, de corps résiduel . Lorsque est fini, la structure de a été déterminée par C.C. Moore, J.E. Carroll et A.S. Merkurjev. On généralise ici leurs résultats au cas où est parfait de caractéristique positive . Les résultats principaux sont : est -divisible pour assez grand (explicite); le groupe de Milnor est discret, explicitement déterminé ; n’a pas de torsion première à , et sa -torsion est explicitement déterminée. On obtient...
Le plongement caloisien à noyau d'ordre premier et ses applications à la construction d'extensions non abéliennes
L'invariant de Witt de la forme Tr(x2).
Localization of the cohomology of a finite galois group in a Dedekind domain
Lokal-Global-Prinzipien für die Brauergruppe.