2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60097Classically the ramification filtration of the Galois group of a complete discrete valuation field is defined in the case where the residue field is perfect. In this paper, we define without any assumption on the residue field, two ramification filtrations and study some of their properties.Extended and corrected versionAlgebraic GeometryNumber Theorytext