Automorphism groups of linearly ordered homogeneous structures

TL;DR

This paper investigates the automorphism groups of certain linearly ordered homogeneous structures, demonstrating their simplicity by applying existing results to specific classes of structures.

Contribution

It extends previous work by proving the simplicity of automorphism groups for linear order expansions of free homogeneous structures and the universal n-linear order for n≥2.

Findings

Automorphism groups of these structures are simple.

Application of existing results to new classes of structures.

Extension of known properties to linear order expansions.

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 $n\geq 2$, and prove the simplicity of their automorphism groups.