Automorphism groups of linearly ordered homogeneous structures

2020/09/05 by Li, Yibei
#FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2009.02475

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≥ 2, and prove the simplicity of their automorphism groups.

Related

• Automorphism groups of homogeneous structures with stationary weak independence relations
• Simplicity of the automorphism groups of some binary homogeneous structures determined by triangle constraints
• More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
• Coherent extension of partial automorphisms, free amalgamation, and\n automorphism groups
• Automorphism groups of saturated structures; a review