7 citations · 12 across the 13 of their papers we have counts for
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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…
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…
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…
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…
Orderings and flexibility of some subgroups of
Juan Alonso, Joaquin Brum, Cristóbal Rivas
In this work we exhibit flexibility phenomena for some (countable) groups acting by order preserving homeomorphisms of the line. More precisely, we show that if a left orderable gr…
Measure free factors of free groups
Juan Alonso
Measure free factors are a generalization of the notion of free factors of a group, in a measure theoretic context. We find new families of cyclic measure free factors of free grou…
JSJ decompositions of Quadratic Baumslag-Solitar groups
Juan Alonso
Generalized Baumslag-Solitar groups are defined as fundamental groups of graphs of groups with infinite cyclic vertex and edge groups. Forester proved (in "On uniqueness of JSJ dec…