Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures
classification
🧮 math.GR
math.LO
keywords
structuresautomorphismexpansionsgroupshomogeneousnotionsorderrandom
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We define the notions of a free fusion of structures and a weakly stationary independence relation. We apply these notions to prove simplicity for the automorphism groups of order and tournament expansions of homogeneous structures like the bounded Urysohn space, the random graph, and the random poset.
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