2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124638We prove that there are groups in the constructible universe whose automorphism towers are highly malleable by forcing. This is a consequence of the fact that, under a suitable diamond hypothesis, there are sufficiently many highly rigid non-isomorphic Souslin trees whose isomorphism relation can be precisely controlled by forcing.23 pagesLogicGroup Theory03E35;20F28Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over Ltext