Uniform symplicity of groups with proximal action

@article{Gal2017UniformSO,
  title={Uniform symplicity of groups with proximal action},
  author={'Swiatoslaw R. Gal and Jakub Gismatullin and Nir Lazarovich},
  journal={arXiv: Group Theory},
  year={2017},
  volume={4},
  pages={110-130}
}
We prove that groups acting boundedly and order-primitively on linear orders or acting extremly proximality on a Cantor set (the class including various Higman-Thomson groups and Neretin groups of almost automorphisms of regular trees, also called groups of spheromorphisms) are uniformly simple. Explicit bounds are provided. 
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  • Y. Neretin
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  • Groups, Geometry, and Dynamics
  • 2021
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