15 citations · 52 across the 12 of their papers we have counts for
16 papers
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.…
On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype
Alessandro Carderi, Damien Gaboriau, François Le Maître +1
Given a Baumslag-Solitar group, we study its space of subgroups from a topological and dynamical perspective. We first determine its perfect kernel (the largest closed subset witho…
On the homology growth and the -Betti numbers of
Damien Gaboriau, Yassine Guerch, Camille Horbez
Let , and let be the outer automorphism group of a free Coxeter group of rank . We study the growth of the dimension of the homology groups (wi…
One-ended spanning subforests and treeability of groups
Clinton T. Conley, Damien Gaboriau, Andrew S. Marks +1
We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the…
On dense totipotent free subgroups in full groups
Alessandro Carderi, Damien Gaboriau, François Le Maître
We study probability measure preserving (p.m.p.) non-free actions of free groups and the associated IRS's. The perfect kernel of a countable group Gamma is the largest closed subsp…
On the top-dimensional -Betti numbers
Damien Gaboriau, Camille Noûs
The purpose of this note is to introduce a trick which relates the (non)-vanishing of the top-dimensional -Betti numbers of actions with that of sub-actions. We provide thr…