From the 1 of 6 linked papers with an AI index.
6 papers
Commensurating actions and self-similar groups
Nicolás Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng
The authors classify commensurating actions of finitely generated contracting self‑similar branch groups on CAT(0) cube complexes and use this classification to prove that the iter…
Groups with classifiable actions on the line
JoaquÃn Brum, MartÃn Gilabert Vio, Nicolás Matte Bon
We motivate and study the class of countable groups such that the conjugacy relation between minimal actions of on by orientation-preserving home…
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…
Subexponential growth and actions on one-manifolds
Sang-hyun Kim, Nicolás Matte Bon, Mikael de la Salle +1
Let be a countable group with no finitely generated subgroup of exponential growth. We show that every action of on a countable set preserving a linear (respectively, circu…
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…