6 papers · 1 filter
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…
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…
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…
Solvable Groups and Affine Actions on the Line
JoaquÃn Brum, Nicolás Matte Bon, Cristóbal Rivas +1
We prove a structural result for orientation-preserving actions of finitely generated solvable groups on real intervals, considered up to semi-conjugacy. As applications we obtain…
A realisation result for moduli spaces of group actions on the line
JoaquÃn Brum, Nicolás Matte Bon, Cristóbal Rivas +1
Given a finitely generated group , the possible actions of on the real line (without global fixed points), considered up to semi-conjugacy, can be encoded by the space of or…
On the critical regularity of nilpotent groups acting on the interval: the metabelian case
Maximiliano Escayola, Cristóbal Rivas
Let be a torsion-free, finitely-generated, nilpotent and metabelian group. In this work we show that embeds into the group of orientation preserving -diffeomorphi…