3 citations · 3 across the 4 of their papers we have counts for
9 papers
Stabilizers in Higman-Thompson groups
James Belk, James Hyde, Francesco Matucci
We investigate stabilizers of finite sets of rational points in Cantor space for the Higman-Thompson groups . We prove that the pointwise stabilizer is an iterated ascendi…
Subgroups of which do not embed into Thompson's group
James Hyde, Justin Tatch Moore
We will give a general criterion - the existence of an -obstruction - for showing that a subgroup of does not embed into Thompson's group . An immediate con…
Two new families of finitely generated simple groups of homeomorphisms of the real line
James Hyde, Yash Lodha, Cristóbal Rivas
The goal of this article is to exhibit two new families of finitely generated simple groups of homeomorphisms of . These families are strikingly different from existing…
Uniformly perfect finitely generated simple left orderable groups
James Hyde, Yash Lodha, Andrés Navas +1
We show that the finitely generated simple left orderable groups constructed by the first two authors in arXiv:1807.06478 are uniformly perfect - each element in the group ca…
The Group of Boundary Fixing Homeomorphisms of the Disc is Not Left-Orderable
James Hyde
A left-order on a group is a total order on such that for any , and in we have . We construct a finitely generated subgrou…
Finitely generated infinite simple groups of homeomorphisms of the real line
James Hyde, Yash Lodha
We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right)…