2 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
On commensurators of free groups and free pro-p groups
Yiftach Barnea, Mikhail Ershov, Adrien Le Boudec +3
We study the commensurators of free groups and free pro- groups, as well as certain subgroups of these. We prove that the commensurator of a non-abelian free group of…
Locally compact piecewise full groups of homeomorphisms
Alejandra Garrido, Colin D. Reid
We study when a piecewise full group (a.k.a. topological full group) of homeomorphisms of the Cantor space can be given a non-discrete totally disconnected locally compact (t.d…
Compressible subgroups and simplicity
Alejandra Garrido, Colin D. Reid
In this article we give sufficient conditions for a group to have simple derived subgroup; the argument is based on generalising properties observed for extremely proximal micro-su…
The scale function for locally compact groups acting on non-positively curved spaces
Colin D. Reid
Let be a totally disconnected, locally compact (t.d.l.c.) group. The scale of in the sense of Willis is given by the minimum value of the index $|gUg^{-1}:U…
An introduction to the local-to-global behaviour of groups acting on trees and the theory of local action diagrams
Colin D. Reid, Simon M. Smith
The primary tool for analysing groups acting on trees is Bass--Serre Theory. It is comprised of two parts: a decomposition result, in which an action is decomposed via a graph of g…
Discrete locally finite full groups of Cantor set homeomorphisms
Alejandra Garrido, Colin D. Reid
This work is motivated by the problem of finding locally compact group topologies for piecewise full groups (a.k.a.~ topological full groups). We determine that any piecewise full…