On James Hyde’s example of non-orderable subgroup of

  • Michele Triestino

    Université de Bourgogne Franche-Comté, Dijon, France
On James Hyde’s example of non-orderable subgroup of $\mathrm{Homeo}(D,\partial D)$ cover

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Abstract

In Ann. Math. 190 (2019), 657–661, James Hyde presented the first example of non-left-orderable, finitely generated subgroup of , the group of homeomorphisms of the disk fixing the boundary. This implies that the group itself is not left-orderable. We revisit the construction, and present a slightly different proof of purely dynamical flavor, avoiding direct references to properties of left-orders. Our approach allows to solve the analogue problem for actions on the circle.

Cite this article

Michele Triestino, On James Hyde’s example of non-orderable subgroup of . Enseign. Math. 66 (2020), no. 3/4, pp. 409–418

DOI 10.4171/LEM/66-3/4-5