20 citations · 75 across the 28 of their papers we have counts for
25 papers · 1 filter
Elements with north-south dynamics and free subgroups have positive density in Thompson's groups T and V
Sean Cleary, Ariadna Fossas Tenas
We show that the density of elements in Thompson's groups T and V which have north-south dynamics acting on the circle is positive with respect to a stratification in terms of size…
Undistorted embeddings of metabelian groups of finite Prüfer rank
Sean Cleary, Conchita Martínez-Pérez
General arguments of Baumslag and Bieri guarantee that any metabelian group of finite Prüfer rank can be embedded in a metabelian constructible group. Here, we consider the metric…
Commensurations and Metric Properties of Houghton's Groups
José Burillo, Sean Cleary, Armando Martino +1
We describe the automorphism groups and the abstract commensurators of Houghton's groups. Then we give sharp estimates for the word metric of these groups and deduce that the comme…
Obstructions for subgroups of Thompson's group
José Burillo, Sean Cleary, Claas E. Röver
Thompson's group has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permu…
Addendum to "Commensurations and Subgroups of Finite Index of Thompson's Group F"
José Burillo, Sean Cleary, Claas E. Röver
We show that the abstract commensurator of Thompson's group F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive…
The automorphism group of Thompson's group F: subgroups and metric properties
Sean Cleary, José Burillo
We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, w…