On exponents of p-adic differential modules.
On extensions of the maximal cyclotomic field having a given classical Galois group.
On Finite Intersections of "Henselian Valued" Fields.
On finite linear groups stable under Galois operation.
On full cover property of ordered 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 generalized gamma near-fields.
On generalized “ham sandwich” theorems
In this short note we utilize the Borsuk-Ulam Anitpodal Theorem to present a simple proof of the following generalization of the “Ham Sandwich Theorem”: Let be subsets with finite Lebesgue measure. Then, for any sequence of -linearly independent polynomials in the polynomial ring there are real numbers , not all zero, such that the real affine variety simultaneously bisects each of subsets , . Then some its applications are studied.
On generalized -adic integration
On generalized Redei functions.
On Geometric Embedding Problems and Semiabelian Groups.
On Grothendieck's pairing of component groups in the semistable reduction case.
On group-permutation polynomials
On Grunwald-Wang's theorem.
On Hopf Galois structures and complete groups.
On Ideal Theory in High Prufer Domains.
On idempotent semifields and a paper by H. Hutchins.
On intervals containing full sets of conjugates of algebraic integers
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.