4 papers · 1 filter
Periodic quasiflats in hierarchically hyperbolic spaces
Pénélope Azuelos, Mark Hagen
We prove a quasiflat closing theorem and a coarse flat torus theorem for hierarchically hyperbolic groups (HHGs). Namely, given an HHG , we prove that is hyperbolic if and o…
A guide to constructing free transitive actions on median spaces
Pénélope Azuelos
We construct large families of groups admitting free transitive actions on median spaces. In particular, we construct groups which act freely and transitively on the complete unive…
On subgroups with narrow Schreier graphs
Pénélope Azuelos
We study finitely generated pairs of groups such that the Schreier graph of has at least two ends and is \emph{narrow}. Examples of narrow Schreier graphs include th…
Perfect kernel and dynamics: from Bass-Serre theory to hyperbolic groups
Pénélope Azuelos, Damien Gaboriau
We introduce several approaches to studying the Cantor-Bendixson decomposition of and the dynamics on the (topological) space of subgroups for various families of countable groups.…