Le théorème de Lüroth pour les corps de fractions tordus par un automorphisme fini

The main object of this article is to show the generalization of Lüroth's theorem to the case of a skew fraction field $H(t,\sigma )$, where H denotes a field of finite dimension over its center and $\sigma \in \text{Aut}\left(H\right)$ an automorphism of finite order.