Le groupe des classes module 2 d'après Conner et Perlis.
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.
Mild 2-relator pro--groups.
Motivic cohomology and unramified cohomology of quadrics
This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension and . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics....
Multipliers of improper similitudes.
Neubegründung der Klassenkörpertheorie.
On a Theorem of M. Deuring and I.R. Safarevic.
On Chinburg's second conjecture for abelian fields.
On Galois cohomology and realizability of 2-groups as Galois groups II
In [Michailov I.M., On Galois cohomology and realizability of 2-groups as Galois groups, Cent. Eur. J. Math., 2011, 9(2), 403–419] we calculated the obstructions to the realizability as Galois groups of 14 non-abelian groups of order 2n, n ≥ 4, having a cyclic subgroup of order 2n−2, over fields containing a primitive 2n−3th root of unity. In the present paper we obtain necessary and sufficient conditions for the realizability of the remaining 8 groups that are not direct products of smaller groups....
On Galois cohomology and realizability of 2-groups as Galois groups
In this paper we develop some new theoretical criteria for the realizability of p-groups as Galois groups over arbitrary fields. We provide necessary and sufficient conditions for the realizability of 14 of the 22 non-abelian 2-groups having a cyclic subgroup of index 4 that are not direct products of groups.
On K2 of Finite Dimensional Division Algebras Over Arithmetical Fields.
On knots in algebraic number theory.
On realizability of p-groups as Galois groups
2000 Mathematics Subject Classification: 12F12, 15A66.In this article we survey and examine the realizability of p-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension), descriptions of such extensions, automatic realizations among p-groups, and related topics.
On Solvable Number Fields.
On the 2-Torsion in the K2 of Fields.
On the Brauer monoid of .
On the Cohomological Characterization of Real Free Pro-2-Group.