Automorphism groups of linearly ordered homogeneous structures

Abstract

We apply results proved in [Li19] to the linear order expansions of non-trivial free homogeneous structures and the universal n-linear order for $n\ge 2$, and prove the simplicity of their automorphism groups.

References in corpus (5)

• On the isometry group of the Urysohn space
• Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures
• Simplicity of the automorphism groups of some binary homogeneous structures determined by triangle constraints
• Permutations on the random permutation
• Automorphism groups of homogeneous structures with stationary weak independence relations

Cited by in corpus (1)

• Simplicity of the automorphism groups of generalised metric spaces