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Automorphism groups of linearly ordered homogeneous structures

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arxiv 2009.02475 v1 pith:GFGMCCMT submitted 2020-09-05 math.GR math.LO

Yibei Li This is my paper · ORCID
classification math.GRmath.LO
keywords automorphismgroupshomogeneousorderstructuresapplyexpansionsfree
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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 $n\geq 2$, and prove the simplicity of their automorphism groups.

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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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