The stator comprises a casing and at least one stage of variable-pitch stator vanes, said vanes being moved by an actuator ring outside said casing and carried thereby, and said ring being connected by links to the vanes in order to actuate them simultaneously, in which said casing includes a stationary coaxial rail projecting from the outside surface of the casing, and at least three circumferentially spaced-apart groups of wheels are constrained to move along said rail, each group of wheels being coupled to said ring by a radial guidance arrangement, each group of wheels comprising at least two wheels engaged with said rail, and each wheel being mounted to rotate on a radially-oriented pin, said pin being mounted directly on said ring.