On tamely ramified infinite Galois extensions

Farshid Hajir, Michael Larsen, Christian Maire +1

For a number field $K$, we consider $K^{\mathrm{ta}}$ the maximal tamely ramified algebraic extension of~$K$, and its Galois group $G_K^{\mathrm{ta}}=Gal(K^{ta}/K)$. Choose a prime $p$ such…