2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64982This paper was withdrawn by the authors. Lemma 5.1 is wrong.This paper has been withdrawnAlgebraic Geometry14H10; 14H15; 14F35; 11R34Relative pro-$\ell$ completions of Teichmüller groupstext