2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152837We prove that for a stable theory $T,$ if $M$ is a saturated model of $T$ of cardinality $λ$ where $λ> \big|T\big|,$ then $Aut(M)$ has a dense free subgroup on $2^λ$ generators. This affirms a conjecture of Hodges.LogicThe automorphism group of a saturated model has a large dense free subgrouptext