On the automorphism group of the countable dense circular order

• Autorzy: J. K. Truss
• Języki publikacji: EN

Abstrakty

EN

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 C̅.

Kategorie tematyczne

• 06F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 204
• Numer: 2
• Strony: 97-111

Daty

wydano

2009

Twórcy

autor

J. K. Truss

• Department of Pure Mathematics, University of Leeds, Leeds, UK

Identyfikatory

DOI

10.4064/fm204-2-1