# 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.

#### 11 Citations

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