2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145501We complete the quasi-isometric classification of irreducible lattices in semisimple Lie groups over nondiscrete locally compact fields of characteristic zero by showing that any quasi-isometry of a rank one S-arithmetic lattice in a semisimple Lie group over nondiscrete locally compact fields of characteristic zero is a finite distance in the sup-norm from a commensurator.21 pagesGroup TheoryGeometric Topology20F65; 20G30; 22E40text