3 problems

Generalized Purely Wild Inertia Conjecture. There is a connected $G$-Galois cover of $\mathbb{P}^1$ étale away from $B$ such that $P_i$ occurs as an inertia group above $x_i$ for…

Generalized Inertia Conjecture. There is a connected $G$-Galois cover of $\mathbb{P}^1$ étale away from $B$ such that $I_i$ occurs as an inertia group above $x_i$ for…

Purely Wild Inertia Conjecture. The subgroup $P$ occurs as the inertia group at a point above $\infty$ in a connected $G$-Galois cover of $\mathbb{P}^1$ branched only at $\infty$ if…