On the simplicity of homeomorphism groups of a tilable lamination

被引：4

作者：

Aliste-Prieto, Jose ^{[1
]}

Petite, Samuel ^{[2
]}

机构：

[1] Univ Andres Bello, Dept Matemat, Republ 498, Santiago, Chile

[2] Univ Picardie Jules Verne, CNRS, UMR 7352, Lab Amienois Math Fondamentale & Appl, 33 Rue St Leu, F-80039 Amiens, France

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 181卷 / 02期

关键词：

Simple groups; Homeomorphism groups; Tiling spaces; Tilable laminations; DIFFEOMORPHISMS; PERFECT; SPACES;

D O I：

10.1007/s00605-016-0921-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the identity component of the group of homeomorphisms that preserve all leaves of a -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：16

共 15 条

[1] On the simplicity of homeomorphism groups of a tilable lamination
José Aliste-Prieto
Samuel Petite
Monatshefte für Mathematik, 2016, 181 : 285 - 300
[2] On the structure of the commutator subgroup of certain homeomorphism groups
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