2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167755Let G=SL(n,R) with n>5. We construct examples of lattices Gamma of G, subgroup A of the diagonal group and points x in G/Gamma such that the closure of the orbit Ax is not homogeneous but does not factors through the action of a one-parameter non-unipotent group. This contradicts a conjecture of Margulis.Dynamical Systems22E40, 37B99A non-homogeneous orbit of a diagonal subgrouptext