8 citations · 26 across the 19 of their papers we have counts for
14 papers · 1 filter
-free subgroups of Thompson's are virtually free
Nicolás Matte Bon, Michele Triestino
It is an open problem to determine whether surface groups can embed in Thompson's group . We prove that any finitely generated subgroup of Thompson's group without abelian g…
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…
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 $\m…
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…
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…
Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval
Michele Triestino
For a certain class of groups of piecewise linear homeomorphisms of the interval, we prove that they admit no sufficiently regular faithful action on the line. Building on previous…
On the action of the homology sphere group on its space of left-orders
Kathryn Mann, Michele Triestino
We show that the action of the group on its space of left-orders has exactly two minimal components.
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…
On James Hyde's example of non-orderable subgroup of
Michele Triestino
In [Ann. Math. 190 (2019), 657-661], James Hyde presented the first example of non-left-orderable, finitely generated subgroup of , the group of homeo…
Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction
Juan Alonso, Sébastien Alvarez, Dominique Malicet +2
Following the recent advances in the study of groups of circle diffeomorphisms, we describe an efficient way of classifying the topological dynamics of locally discrete, finitely g…
One-dimensional actions of Higman's group
Cristóbal Rivas, Michele Triestino
We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a by-product we obtain many quasimorphisms from the Higman…
Groups of piecewise linear homeomorphisms of flows
Nicolás Matte Bon, Michele Triestino
To every dynamical system over a totally disconnected compact space, we associate a left-orderable group . It is defined as a group of homeomorphisms of the suspensio…
Ping-pong configurations and circular orders on free groups
Dominique Malicet, Kathryn Mann, Cristobal Rivas +1
We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or…
Hyperbolicity as an obstruction to smoothability for one-dimensional actions
Christian Bonatti, Yash Lodha, Michele Triestino
Ghys and Sergiescu proved in the s that Thompson's group , and hence , admits actions by diffeomorphisms of the circle . They proved that the standard action…