Commensurations and subgroups of finite index of Thompson's group F

被引：5

作者：

Burillo, Jose ^{[1
]}

Cleary, Sean ^{[2
]}

Roever, Claas E. ^{[3
]}

机构：

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

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

[3] Univ Ireland, Dept Math, Galway, Ireland

来源：

GEOMETRY & TOPOLOGY | 2008年 / 12卷

基金：

美国国家科学基金会;

关键词：

Commensurator; Thompson group;

D O I：

10.2140/gt.2008.12.1701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the abstract commensurator Com. F/ of Thompson's group F and describe it in terms of piecewise linear homeomorphisms of the real line. We show Com. F/ is not finitely generated and determine which subgroups of finite index in F are isomorphic to F. We also show that the natural map from the commensurator group to the quasi-isometry group of F is injective.

引用

页码：1701 / 1709

页数：9

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