2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60732$p$-Adic compactifications of geometric loop and diffeomorphism groups of compact manifolds on finite-dimensional spaces over non-Archimedean fields are investigated. Weakened topology is introduced. The structure of newly constructed compact groups is studied. Representations of such profinite groups are discused.14 pages, 0 figuresGroup Theory22A05 (primary), 11F85, 46S10 (secondary)Profinite and Finite Groups Associated with Loop and Diffeomorphism Groups of Non-Archimedean Manifoldstext