6 papers
Ping-pong dynamics of hyperbolic-like actions with non-simple points
KyeongRo Kim, Michele Triestino
A hyperbolic-like group is a subgroup of such that every non-trivial element has exactly two fixed points, one attracting and one repelling. We invest…
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…
Non-locally discrete actions on the circle with at most fixed points
Christian Bonatti, João Carnevale, Michele Triestino
A subgroup of is Möbius-like if every element is conjugate to an element of . In general, a Möbius-like subgroup of $…