A remark on fields with the dense orbits property

Abstract

Let K be a formally real field and Ω its order space. The automorphisms group of K acts on Ω, and K is called D.O.P. when all the orbits are dense in Ω. In this note the following is shown: The field of meromorphic function germs of a real irreducible analytic germ of dimension > 1 is never D.O.P