2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63739Suppose given a Galois etale cover Y -> X of proper non-singular curves over an algebraically closed field k of prime characteristic p. Let H be its Galois group, and G any finite extension of H by a p-group P. We give necessary and sufficient conditions on G to be the Galois group of an etale cover of X dominating Y -> X.13 pagesAlgebraic Geometry14H30A relative Shafarevich theoremtext