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

2018/06/05 by Yibei Li, Li, Yibei
Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic (math.LO) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1806.01671

openalex publication_date 2018/06/05 · openalex created_date 2018/06/13 · openalex updated_date 2026/07/28

Abstract

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

Related

• Automorphism groups of homogeneous structures with stationary weak independence relations
• Simplicity of the automorphism groups of some Hrushovski constructions
• Coherent extension of partial automorphisms, free amalgamation, and\n automorphism groups
• Automorphism groups of linearly ordered homogeneous structures
• Binary simple homogeneous structures