Addendum to "Commensurations and subgroups of finite index of Thompson's group F"

被引：1

作者：

Burillo, Jose ^{[1
]}

Cleary, Sean ^{[2
]}

Roever, Claas E. ^{[3
]}

机构：

[1] Univ Politecn Cataluna, Escola Politecn Super Castelldefels, Dept Matemat Aplicada 4, Castelldefels 08860, Spain

[2] CUNY City Coll, Dept Math R8133, New York, NY 10031 USA

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

GEOMETRY & TOPOLOGY | 2013年 / 17卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.2140/gt.2013.17.1199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the abstract commensurator of F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive rationals and a cyclic group of order two. The main result establishes the simplicity of a certain group of piecewise linear homeomorphisms of the real line.

引用

页码：1199 / 1203

页数：5

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