7 citations · 12 across the 11 of their papers we have counts for
7 papers · 1 filter
Groups with classifiable actions on the line
Joaquín Brum, Martín 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…
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…
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 the geometry of positive cones in finitely generated groups
J. Alonso, Y. Antolín, J. Brum +1
We study the geometry of positive cones of left-invariant total orders (left-order, for short) in finitely generated groups. We introduce the \textit{Hucha property} and the \texit…
Spaces of orders of some one-relator groups
Juan Alonso, Joaquin Brum
We show that certain orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general orderable group, the HNN extensi…