2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69475We show that every finite-dimensional p-adic Lie group of class C^k admits a C^k-compatible analytic Lie group structure.LaTeX, 37 pagesGroup Theory22E20; 22E65; 22D05Every smooth p-adic Lie group admits a compatible analytic structuretext