2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223136The goal of this article is to construct explicitly a p-adic family of representations (which are dihedral representations), to construct their associated (phi,Gamma)-modules by writing down explicit matrices for phi and for the action of Gamma, and finally to determine which of these are trianguline.10 pagesNumber Theory11F33, 11F80, 11S20, 11S31, 12H25, 14D15, 14F30text