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.
On the cohomology of biquadratic extensions.
On the conjecture of Lichtenbaum and of Chinburg over function fields.
On the group .
Opérateurs hypergéométriques réductibles : décompositions et groupes de Galois différentiels
Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.