Test of the Flavour Independence of alpha_s using Next-to-leading Order Calculations for Heavy Quarks We present a test of the flavour independence of the strong coupling constant for charm and bottom quarks with respect to light (uds) quarks. Five observables related to global event shapes were used to measure alpha_s in three flavour tagged samples (uds, c and b). The event shape distributions were fitted by second order calculations of jet production taking into account mass effects for the c and b quarks. We find the ratio of alpha_s from c events to uds events to be 0.997+-0.038(stat.)+-0.030(syst.)+-0.012(theory). The corresponding quantity between b and uds events is 0.993+-0.008(stat.)+-0.006(syst.)+-0.011(theory). Parallel session :3 Plenary session :11