Spaces of orders of some one-relator groups

Alonso, Juan; Brum, Joaquín

doi:10.2140/agt.2018.18.4161

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Spaces of orders of some one-relator groups

Juan Alonso and Joaquín Brum

Algebraic & Geometric Topology 18 (2018) 4161–4185

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.

Keywords

left orders, actions on the line, one-relator groups

Mathematical Subject Classification 2010

Primary: 06F15, 20F60

References

Publication

Received: 17 December 2017

Revised: 20 July 2018

Accepted: 29 July 2018

Published: 11 December 2018

Authors

Juan Alonso
Facultad de Ciencias Universidad de la República Montevideo Uruguay

Joaquín Brum
Facultad de Ingenieria Universidad de la República Montevideo Uruguay

Volume 18, issue 7 (2018)