Geodesic
On the automorphism group of the countable dense circular order
J. K. Truss1
1 Department of Pure Mathematics University of Leeds Leeds, UK
Fundamenta Mathematicae, Tome 204 (2009) no. 2, pp. 97-111 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\overline C$.
DOI : 10.4064/fm204-2-1
Keywords: countable dense circular ordering its automorphism group shown certain properties group elements first order definable these results reconstruct inside demonstrate its outer automorphism group has order similar statements completion overline

J. K. Truss 1

1 Department of Pure Mathematics University of Leeds Leeds, UK 
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J. K. Truss. On the automorphism group of the countable dense circular order. Fundamenta Mathematicae, Tome 204 (2009) no. 2, pp. 97-111. doi: 10.4064/fm204-2-1

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