Quasi-linearity of cyclic monomial automorphisms (Q1062098)

Let \(K_ 1\), \(K_ 2\) be purely transcendental extensions of a fixed field k with finite transcendency degrees, and let L be the quotient field of the tensor product of \(K_ 1\) and \(K_ 2\) over k. The author studies the k-automorphism of L induced by two given k-automorphisms of \(K_ 1\) resp. \(K_ 2\), which are assumed to be of finite order. This study enables him to show that every cyclic monomial automorphism is linearizable.