The ion-implantation-perturbed-angular-correlation technique has been used to measure the g factors of the first 2+ excited states of four even osmium nuclei in a ferromagnetic nickel host. The observed angular precessions were: ωτ(192Os)=0.22+/-0.01, ωτ(190Os)=0.277+/-0.009, ωτ(188Os)=0.39+/-0.03, and ωτ(186Os)=0.38+/-0.08. The angular precession result for 192Os is in excellent agreement with the results of perturbed-angular-correlation measurements in nickel using radioactive sources. It was found that the internal field seen by the osmium nuclei implanted in nickel is in good agreement with the value obtained by room temperature NMR techniques. The available direct lifetime measurements for 186,188Os and lifetimes extracted from B(E2) values for 190,192Os are used to obtain the gyromagnetic ratios: g(192Os)=0.39+/-0.03, g(190Os)=0.39+/-0.03, g(188Os)=0.29+/-0.03, and g(186Os)=0.24+/-0.05.