%0 Journal Article
%T Abelian extensions of global fields with constant local degrees
%A Hershy Kisilevsky
%A Jack Sonn
%J Mathematics
%D 2004
%I arXiv
%X 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, and is equal to two at the real primes if n=2. As a consequence, the n-torsion subgroup of the Brauer group of K is equal to the relative Brauer group of L/K.
%U http://arxiv.org/abs/math/0412176v4