Describing all bi-orderings on Thompson's group F

2008/08/12 by Navas, Andrés, Rivas, Cristóbal · 1 citation
#06F15 #20F60 #22F50 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0808.1688

Abstract

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

Cited by

• Intermediate subgroups of braid groups are not bi-orderable

Related

• Bi-orderings on pure braided Thompson's groups
• Orderable groups
• Pure infinitely braided Thompson groups
• Orderable Thompson-like groups arising from Ore categories
• The Maximality of T in Thompson's group V