3 papers
math.GR2011
Left-orderings on free products of groups
Cristóbal Rivas
We show that no left-ordering on a free product of (left-orderable) groups is isolated. In particular, we show that the space of left-orderings of free product of finitely generate…
math.GR2010
Orderable groups
Cristóbal Rivas
In Chapter 1 we give the basic background and notations. We also give a new characterization of the Conrad property for orderings. In Chapter 2, we use the new characterization of…
math.GR2008
Describing all bi-orderings on Thompson's group F
Andrés Navas, Cristóbal Rivas
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.