On the simplicity of homeomorphism groups of a tilable lamination

被引：0

作者：

José Aliste-Prieto

Samuel Petite

机构：

[1] Universidad Andres Bello,Departamento de Matematicas

[2] Université de Picardie Jules Verne,Laboratoire Amiénois de Mathématique Fondamentale et Appliquée,CNRS

来源：

Monatshefte für Mathematik | 2016年 / 181卷

关键词：

Simple groups; Homeomorphism groups; Tiling spaces; Tilable laminations; 20E32; 57S05; 37B50; 37A20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the identity component of the group of homeomorphisms that preserve all leaves of a Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb R}^{d}$$\end{document}-tilable lamination is simple. Moreover, in the one dimensional case, we show that this group is uniformly perfect. We obtain similar results for homeomorphisms preserving the vertical structure.

引用

页码：285 / 300

页数：15

共 13 条

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