On the automorphism group of the countable dense circular order

2009/01/01 by J. K. Truss · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #semigroups and automata theory #Finite Group Theory Research #Countable set #Mathematics #Automorphism #Automorphism group #Order (exchange) #Group (periodic table) #Outer automorphism group #Combinatorics #Inner automorphism #Pure mathematics #Physics

paper · pdf · doi:10.4064/fm204-2-1

openalex publication_date 2009/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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

Citations

• Generic Automorphisms of Homogeneous Structures
• Periodic Ordered Permutation Groups and Cyclic Orderings
• Ordered Permutation Groups

Cited by

• Cyclic order [wikipedia]