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arXiv · 2302.04805

Finitely presented simple left-orderable groups in the landscape of Richard Thompson's groups

James Hyde·Yash Lodha
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Abstract

We construct the first examples of finitely presented simple groups of orientation-preserving homeomorphisms of the real line. Our examples are also of type $F_{\infty}$, have infinite geometric dimension, and admit a nontrivial homogeneous quasimorphism (and hence have infinite commutator width).

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James Hyde, Yash Lodha. 2023-02-09. Finitely presented simple left-orderable groups in the landscape of Richard Thompson's groups. https://arxiv.org/abs/2302.04805

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