3 papers
math.GR2026
Free product of bi-orderable group is bi-orderable: A simple dynamical proof
Juan Alonso, Cristóbal Rivas
We give a new proof of Vinogradov's theorem asserting that free product of biorderable groups is biorderable. Our proof relies on a simple dynamical construction that provides a bi…
math.GR2025
Groups, Orders, and Dynamics
B. Deroin, A. Navas, C. Rivas
This is an almost self-contained monograph (containing some new results) on left-orderable groups which mostly rely on dynamical and probabilistic aspects, but also on geometric, c…
math.GR2024
Locally moving groups and laminar actions on the line
JoaquÃn Brum, Nicolás Matte Bon, Cristóbal Rivas +1
We prove various results that, given a sufficiently rich subgroup of the group of homeomorphisms on the real line, describe the structure of the other possible actions of o…