Finitely generated infinite simple groups of homeomorphisms of the real line
成果类型：
Article
署名作者：
Hyde, James; Lodha, Yash
署名单位：
University of St Andrews; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-019-00880-7
发表日期：
2019
页码：
83-112
关键词：
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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