Vol. 121, No. 1, 1986

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A remark on fields with the dense orbits property

Jesús M. Ruiz

Vol. 121 (1986), No. 1, 189–192
Abstract

Let K be a formally real field and Ω its order space. The automor- phisms 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.

Mathematical Subject Classification 2000
Primary: 32C05
Secondary: 12D15
Milestones
Received: 20 June 1984
Published: 1 January 1986
Authors
Jesús M. Ruiz