Groups, Geometry, and Dynamics


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Volume 4, Issue 1, 2010, pp. 163–177
DOI: 10.4171/GGD/78

Published online: 2009-12-23

Describing all bi-orderings on Thompson’s group F

Andrés Navas[1] and Cristóbal Rivas[2]

(1) Universidad de Santiago de Chile, Chile
(2) Universidad de Santiago de Chile, Chile

We describe all possible ways of bi-ordering Thompson’s group F: its space of bi-orderings is made up of eight isolated points and four canonical copies of the Cantor set.

Keywords: Group orderings, Conrad’s property, Thompson’s group F

Navas Andrés, Rivas Cristóbal: Describing all bi-orderings on Thompson’s group F. Groups Geom. Dyn. 4 (2010), 163-177. doi: 10.4171/GGD/78