Uniform symplicity of groups with proximal action
Group Theory
2018-05-23 v2 Dynamical Systems
Logic
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.
Keywords
Cite
@article{arxiv.1602.08740,
title = {Uniform symplicity of groups with proximal action},
author = {Światosław R. Gal and Jakub Gismatullin and Nir Lazarovich},
journal= {arXiv preprint arXiv:1602.08740},
year = {2018}
}
Comments
23 pages, appendix by Nir Lazarovich, corrected version