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.
Citation
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