2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134575Riemann Existence Theorems for Galois covers of Mumford curves by Mumford curves are stated and proven. As an application, all finite groups are realised as full automorphism groups of Mumford curves in characteristic zero.18 pages, 2 figures. Expanded content, added and corrected proofs, changed referencesAlgebraic Geometry14H30, 14G32text