26 citations · 82 across the 22 of their papers we have counts for
25 papers
Grid diagrams for higher-dimensional Thompson's groups
José Burillo, Sean Cleary, Brita Nucinkis
We describe standard forms for elements of the higher-dimensional Thompson groups arising from gridding subdivision processes. These processes lead to standard normal form des…
Irrational-slope versions of Thompson's groups and
José Burillo, Brita Nucinkis, Lawrence Reeves
In this paper we consider the - and - versions, and , of the irrational slope Thompson group considered in [3]. We give infinite presentations for these gro…
An Irrational-slope Thompson's Group
José Burillo, Brita Nucinkis, Lawrence Reeves
The purpose of this paper is to study the properties of the irrational-slope Thompson's group introduced by Cleary in 1995. We construct presentations, both finite and infini…
Commutators in groups of piecewise projective homeomorphisms
José Burillo, Yash Lodha, Lawrence Reeves
In 2012 Monod introduced examples of groups of piecewise projective homeomorphisms which are not amenable and which do not contain free subgroups, and later Lodha and Moore introdu…
Metric Properties and Distortion in Wreath Products
José Burillo, Eric López-Platón
For a finitely generated regular wreath product, the metric is known, but its computation can be an NP-complete problem. Also, it is not known for the nonregular case. In this arti…
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…