Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Two remarks on the inverse Galois problem for intersective polynomials

Jack Sonn — 2009

Journal de Théorie des Nombres de Bordeaux

A (monic) polynomial $f (x) \in ℤ [x]$ is called if the congruence $f (x) \equiv 0$ mod $m$ has a solution for all positive integers $m$ . Call $f (x)$ if it is intersective and has no rational root. It was proved by the author that every finite noncyclic solvable group $G$ can be realized as the Galois group over $ℚ$ of a nontrivially intersective polynomial (noncyclic is a necessary condition). Our first remark is the observation that the corresponding result for nonsolvable $G$ reduces to the ordinary inverse Galois problem...

On the $n$ -torsion subgroup of the Brauer group of a number field

Hershy Kisilevsky; Jack Sonn — 2003

Journal de théorie des nombres de Bordeaux

Given a number field $K$ Galois over the rational field $ℚ$ , and a positive integer $n$ prime to the class number of $K$ , there exists an abelian extension $L / K$ (of exponent $n$ ) such that the $n$ -torsion subgroup of the Brauer group of $K$ is equal to the relative Brauer group of $L / K$ .

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

Two remarks on the inverse Galois problem for intersective polynomials

On the n -torsion subgroup of the Brauer group of a number field

On the $n$ -torsion subgroup of the Brauer group of a number field