Finitely generated infinite simple groups of homeomorphisms of the real line

被引：0
|
作者：
James Hyde
Yash Lodha
机构：
[1] University of St. Andrews,Mathematical Institute
[2] EPFL,Institute of Mathematics
来源：
Inventiones mathematicae | 2019年 / 218卷
关键词：
Primary: 43A07; Secondary: 20F05;
D O I：
暂无
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学科分类号：
摘要：
We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right) orderable groups. This answers a well known open question of Rhemtulla from 1980 concerning the existence of such groups. In fact, our construction provides a family of continuum many isomorphism types of groups with these properties.
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页码：83 / 112
页数：29
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