On tame $\mathbb{Z}/p\mathbb{Z}$ extensions with prescribed ramification

Farshid Hajir, Christian Maire, Ravi Ramakrishna

The tame Gras-Munnier Theorem gives a criterion for the existence of a $\mathbb{Z}/\mathbb{Z}$-extension of a number field $K$ ramified at exactly a set $S$ of places of $K$ prim…