%0 Journal Article
%T Minimal Ramification in Nilpotent Extensions
%A Nadya Markin
%A Stephen V. Ullom
%J Mathematics
%D 2010
%I arXiv
%X Let $G$ be a finite nilpotent group and $K$ a number field with torsion relatively prime to the order of $G$. By a sequence of central group extensions with cyclic kernel we obtain an upper bound for the minimum number of prime ideals of $K$ ramified in a Galois extension of $K$ with Galois group isomorphic to $G$. This sharpens and extends results of Geyer and Jarden and of Plans. Also we confirm Boston's conjecture on the minimum number of ramified primes for a family of central extensions by the Schur multiplicator.
%U http://arxiv.org/abs/1007.3933v1