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Automorphism groups of homogeneous structures with stationary weak independence relations

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arxiv 1911.08540 v1 pith:GFNIQHDY submitted 2019-11-18 math.GR math.COmath.LO

classification math.GRmath.COmath.LO
keywords automorphismhomogeneousindependenceresultstationarystructuresapplyasymmetric
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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.

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  1. A simple acylindrical recipe for non-split characteristic $2$ sharply $k$-transitive actions and their generalizations

    math.GR 2026-08 conditional novelty 7.0 of 10

    An acylindrically hyperbolic group satisfying the hyperbolic Theta-seed conditions admits a sharply Theta-transitive action, yielding many non-split sharply 2- and 3-transitive examples.

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