Add to ORKGWe investigate the first two Galois cohomology groups of p-extensions over a base field which does not necessarily contain a primitive pth root of unity. We use twisted coefficients in a systematic way. We describe field extensions which are classified by certain residue classes modulo p n th powers of a related field, and we obtain transparent proofs and slight generalizations of some classical results of Albert. The potential application to the cyclicity question for division algebras of degree p is outlined
AbstractLet p be a prime and F(p) the maximal p-extension of a field F containing a primitive pth ro...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
In this paper, we investigate galois theory of CP-graded ring extensions. In particular, we generali...
Abstract. There is a standard correspondence between elements of the cohomology group H 1 (F, µn) (w...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
In 1947 Šafarevic ̌ initiated the study of Galois groups of maximal p-extensions of fields with the...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
Let p be a prime number and \mathbf{k} a local field such that \mathbf{k} contains a primitive p-th ...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
Let $F$ be a field and $E$ an extension of $F$ with $[E:F]=d$ where the characteristic of $F$ is zer...
. We prove that two arithmetically significant extensions of a field F coincide if and only if the W...
AbstractWe prove that two arithmetically significant extensions of a field F coincide if and only if...
Abstract. Let K be a p-adic field, and let L/K be a totally ramified Galois cyclic extension of degr...
AbstractLet p be a prime and F(p) the maximal p-extension of a field F containing a primitive pth ro...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
In this paper, we investigate galois theory of CP-graded ring extensions. In particular, we generali...
Abstract. There is a standard correspondence between elements of the cohomology group H 1 (F, µn) (w...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
In 1947 Šafarevic ̌ initiated the study of Galois groups of maximal p-extensions of fields with the...
AbstractThere is a standard correspondence between elements of the cohomology group H1(F,μn) (with t...
Let p be a prime number and \mathbf{k} a local field such that \mathbf{k} contains a primitive p-th ...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
Let $p$ be a prime number and $\mathbf{k}$ a local field such that $\mathbf{k}$ contains a primitive...
AbstractLet p be a prime number, let K be a field with characteristic different from p containing th...
Let $F$ be a field and $E$ an extension of $F$ with $[E:F]=d$ where the characteristic of $F$ is zer...
. We prove that two arithmetically significant extensions of a field F coincide if and only if the W...
AbstractWe prove that two arithmetically significant extensions of a field F coincide if and only if...
Abstract. Let K be a p-adic field, and let L/K be a totally ramified Galois cyclic extension of degr...
AbstractLet p be a prime and F(p) the maximal p-extension of a field F containing a primitive pth ro...
In this work, we study the class group of the number field $\Q(N^{1/p})$ where $p$ is an odd prime n...
In this paper, we investigate galois theory of CP-graded ring extensions. In particular, we generali...