29 citations · 79 across the 13 of their papers we have counts for
5 papers · 1 filter
A new lattice invariant for lattices in totally disconnected locally compact groups
Bruno Duchesne, Robin Tucker-Drob, Phillip Wesolek
We introduce and explore a natural rank for totally disconnected locally compact groups called the bounded conjugacy rank. This rank is shown to be a lattice invariant for lattices…
On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki group
Rachel Skipper, Phillip Wesolek
We study the Cantor--Bendixson rank of the space of subgroups for members of a general class of finitely generated self-replicating branch groups. In particular, we show for ei…
Geometric stability theory for -structures
Junguk Lee, Michael Cohen, Phillip Wesolek
We introduce a notion of -structures which are certain locally compact group actions and prove some counterparts of results on Polish structures(introduced by Krupinski in \cite…
Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms
Bruno Duchesne, Nicolas Monod, Phillip Wesolek
Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relat…
On elementary amenable bounded automata groups
Kate Juschenko, Benjamin Steinberg, Phillip Wesolek
There are several natural families of groups acting on rooted trees for which every member is known to be amenable. It is, however, unclear what the elementary amenable members of…