Automorphism groups of homogeneous structures with stationary weak independence relations

Abstract

We generalise the result of Tent and Ziegler to homogeneous structures that have a stationary independence relation without the symmetry axiom. We apply our result to prove simplicity of the automorphism group of some asymmetric examples due to Cherlin.

arXiv commentarXiv admin note: text overlap with arXiv:1806.01671

References in corpus (5)

• On the isometry group of the Urysohn space
• The isometry group of the bounded Urysohn space is simple
• 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
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Cited by in corpus (2)

• Simplicity of the automorphism groups of generalised metric spaces
• Automorphism groups of linearly ordered homogeneous structures