2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168360We prove that an irreducible lattice in a semisimple algebraic group is virtually isomorphic to an arithmetic lattice if and only if it admits a faithful self-similar action on a rooted tree of finite valency.6 pagesGroup TheoryGeometric Topology20F65; 20E08; 22E40text