Tame Galois Groups, Linking Numbers and Mildness

Julian Feuerpfeil, Oussama Hamza, Donghyeok Lim

Let $p$ be an odd prime and let $S$ be a set of tame primes. We denote by $G_S$ the Galois group of the maximal pro-$p$ extension of $\mathbb{Q}$ unramified outside $S$. We prove t…