Uniform symplicity of groups with proximal action

Autor: Gal, Światosław R., Gismatullin, Jakub, Lazarovich, Nir
Rok vydání: 2016
Předmět:
Zdroj: Trans. Amer. Math. Soc. Ser. B 4 (2017), 110-130
Druh dokumentu: Working Paper
DOI: 10.1090/btran/18
Popis: 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.
Comment: 23 pages, appendix by Nir Lazarovich, corrected version
Databáze: arXiv