4 papers
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…