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research article
Finitely generated infinite simple groups of homeomorphisms of the real line
October 1, 2019
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.
Type
research article
Web of Science ID
WOS:000482406500002
Author(s)
Date Issued
2019-10-01
Publisher
Published in
Volume
218
Issue
1
Start page
83
End page
112
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
September 7, 2019
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