2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67092We will review the main results concerning the automorphism groups of saturated structures which were obtained during the two last decades. The main themes are: the small index property in the countable and uncountable cases; the possibility of recovering a structure or a significant part of it from its automorphism group; the subgroup of strong automorphisms.Logic03C50, 20B27text