A predicted distribution for Galois groups of maximal unramified extensions

Yuan Liu, Melanie Matchett Wood, David Zureick-Brown

We consider the distribution of the Galois groups $\mathrm{Gal}(K^{\mathrm{un}}/K)$ of maximal unramified extensions as $K$ ranges over $\Gamma$-extensions of $\mathbb{Q}$ o…