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research article

Finitely generated infinite simple groups of homeomorphisms of the real line

Hyde, James
•
Lodha, Yash  
October 1, 2019
Inventiones Mathematicae

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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Type
research article
DOI
10.1007/s00222-019-00880-7
Web of Science ID

WOS:000482406500002

Author(s)
Hyde, James
•
Lodha, Yash  
Date Issued

2019-10-01

Publisher

SPRINGER HEIDELBERG

Published in
Inventiones Mathematicae
Volume

218

Issue

1

Start page

83

End page

112

Subjects

Mathematics

•

Mathematics

•

primary: 43a07

•

secondary: 20f05

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
EGG  
Available on Infoscience
September 7, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/160920
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