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arXiv · 1602.08740

Uniform symplicity of groups with proximal action

Światosław R. Gal·Jakub Gismatullin·Nir Lazarovich
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Abstract

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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Światosław R. Gal, Jakub Gismatullin, Nir Lazarovich. 2016-02-28. Uniform symplicity of groups with proximal action. https://doi.org/10.1090/btran%2F18

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