16 citations · 51 across the 22 of their papers we have counts for
24 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…
A realisation result for moduli spaces of group actions on the line
Joaquín 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 -diffeomorphis…
Solvable Groups and Affine Actions on the Line
Joaquín 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…
Virtual critical regularity of mapping class group actions on the circle
Sang-hyun Kim, Thomas Koberda, Cristóbal Rivas
We show that if and are non-solvable groups, then no action of on is faithful for . As a corollary, if is an orien…
Locally moving groups and laminar actions on the line
Joaquín 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…