2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99540We give geometric and algorithmic criterions in order to have of a proper Galois closure for a codimension one germ of quasi-homogeneous foliation. We recall this notion recently introduced by B. Malgrange, and describe the Galois envelope of a group of germs of analytic diffeomorphisms. The geometric criterions are obtained from transverse analytic invariants, whereas the algorithmic ones make use of formal normal forms.Dynamical SystemsClassical Analysis and ODEstext