Spaces of orders of some one-relator groups

Abstract

We show that certain orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general 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.

17 pages, 6 figures

References in corpus (1)

• Orderings and flexibility of some subgroups of $Home{o}_{+}(\mathbb{R})$