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2018 Spaces of orders of some one-relator groups
Juan Alonso, Joaquín Brum
Algebr. Geom. Topol. 18(7): 4161-4185 (2018). DOI: 10.2140/agt.2018.18.4161

Abstract

We show that certain left-orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general left-orderable group, the HNN extensions of free groups over cyclic subgroups, and a particular class of one-relator groups. In order to prove the results about orders, we develop perturbation techniques for actions of these groups on the line.

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Juan Alonso. Joaquín Brum. "Spaces of orders of some one-relator groups." Algebr. Geom. Topol. 18 (7) 4161 - 4185, 2018. https://doi.org/10.2140/agt.2018.18.4161

Information

Received: 17 December 2017; Revised: 20 July 2018; Accepted: 29 July 2018; Published: 2018
First available in Project Euclid: 18 December 2018

zbMATH: 07006389
MathSciNet: MR3892243
Digital Object Identifier: 10.2140/agt.2018.18.4161

Subjects:
Primary: 06F15, 20F60

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 7 • 2018
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