2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150072We show that if a flat group scheme acts properly, with finite stabilizers, on an algebraic space, then a quotient exists as a separated algebraic space. More generally we show any flat groupid for which the family of stabilizers is finite has a uniform geometric, uniform categorical quotient in the category of algebraic spaces. Our argument is elementary and essentially self contained.AMSTeXAlgebraic Geometrytext