Uniform symplicity of groups with proximal action
  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. 
\'Swiatos{\l}aw R. Gal and Jakub Gismatullin, Nir Lazarovich
math.GR math.DS math.LO