An aerodynamic aircraft wall has external and internal surfaces and is equipped with at least one vortex generator. The vortex generator has at least one active wall projecting with respect to the external surface of the aerodynamic wall. A connecting system connects the vortex generator to the aerodynamic wall. The connecting system includes at least one support having a base pressed firmly against the internal surface of the aerodynamic wall and a head which passes through the aerodynamic wall and collaborates with the active wall, at least one first fastener connecting the base of the support and the aerodynamic wall, at least one second fastener connecting the head of the support and the active wall.