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arXiv · 1712.00066

Spaces of orders of some one-relator groups

Juan Alonso·Joaquin Brum
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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.

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Juan Alonso, Joaquin Brum. 2017-11-30. Spaces of orders of some one-relator groups. https://doi.org/10.2140/agt.2018.18.4161

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