3 papers
math.GR2025
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…
math.GR2024
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…
math.GR2024
Branch groups with infinite rigid kernel
Alejandra Garrido, Zoran Å uniÄ
A theoretical framework is established for explicitly calculating rigid kernels of self-similar regular branch groups. This is applied to a new infinite family of branch groups in…