2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64995We prove several surjectivity criteria for $p$-adic representations. In particular, we classify all adjoint and simply connected group schemes $G$ over the Witt ring $W(k)$ of a finite field $k$ such that the epimorphism $G(W_2(k))\twoheadrightarrow G(k)$ has a section.28 pagesNumber TheoryAlgebraic GeometryRepresentation Theory11S23, 14L17, 17B45, 20G05 and 20G40Surjectivity Criteria for p-adic Representations, Part Itext