Simplicity of the automorphism groups of some binary homogeneous structures determined by triangle constraints

Abstract

We study some amalgamation classes introduced by Cherlin and prove the simplicity of the automorphism groups of the Fra{\"ı}ss{é} limits of these classes. We employ the machinery of stationary independence relations used by Tent and Ziegler.

References in corpus (2)

• On the isometry group of the Urysohn space
• The isometry group of the bounded Urysohn space is simple

Cited by in corpus (6)

• Combinatorial Properties of Metrically Homogeneous Graphs
• Simplicity of the automorphism groups of generalised metric spaces
• Semigroup-valued metric spaces
• Automorphism groups of homogeneous structures with stationary weak independence relations
• Automorphism groups of linearly ordered homogeneous structures
• Structural Ramsey Theory and the Extension Property for Partial Automorphisms