J. Sonn

most citedAbelian extensions of global fields with constant local degrees

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2004★ 1 cited

Abelian extensions of global fields with constant local degrees

Hershy Kisilevsky, Jack Sonn

Given a global field K and a positive integer n, there exists an abelian extension L/K (of exponent n) such that the local degree of L/K is equal to n at every finite prime of K, a…

math.NT2004

Polynomials which are locally reducible

R. Guralnick, M. Schacher, J. Sonn

Let $K$ be a global field and $n > 1$ an integer. We show $n$ is composite if and only if there is an irreducible polynomial $f (x) \in K [x]$ of degree $n$ which is reducible $q$ -ad…

math.RA2003

Brauer groups of genus zero extensions of number fields

Jack Sonn, John Swallow

We determine the isomorphism class of the Brauer groups of certain nonrational genus zero extensions of number fields. In particular, for all genus zero extensions E of the rationa…