Linearizability and rationality of monomial automorphisms of small order
A K-automorphism of a purely transcendental extension L/K is called linearizable if it acts on the K-submodule of L generated by a transcendence basis of L/K. The author gives a sufficient condition for the linearizability of certain automorphisms associated with cyclotomic polynomials of order 2p (with prime p). The cases \(p=3,5,7\) are studied in detail.
scientific article; zbMATH DE number 4144094