2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170174The set of all closed subgroups of a profinite carries a natural profinite topology. This space of subgroups can be classified up to homeomorphism in many cases, and tight bounds placed on its complexity as expressed by its scattered height.Group TheoryGeneral Topology54H05, 03E15, 28A05text