J. Sonn

most citedAbelian extensions of global fields with constant local degrees

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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…