On the automorphism group of the countable dense circular order

Volume 204 / 2009

J. K. Truss Fundamenta Mathematicae 204 (2009), 97-111 MSC: Primary 06F99. DOI: 10.4064/fm204-2-1


Let $(C,R)$ be the countable dense circular ordering, and $G$ its automorphism group. It is shown that certain properties of group elements are first order definable in $G$, and these results are used to reconstruct $C$ inside $G$, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion $\overline C$.


  • J. K. TrussDepartment of Pure Mathematics
    University of Leeds
    Leeds, UK

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