7 citations · 34 across the 13 of their papers we have counts for
13 papers
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…
A characterization of high transitivity for groups acting on trees
Pierre Fima, François Le Maître, Soyoung Moon +1
We establish a sharp sufficient condition for groups acting on trees to be highly transitive when the action on the tree is minimal of general type. This gives new examples of high…
Homogeneous Actions on the Random Graph
Pierre Fima, Soyoung Moon, Yves Stalder
We show that any free product of two countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of…
Highly transitive actions of groups acting on trees
Pierre Fima, Soyoung Moon, Yves Stalder
We show that a group acting on a non-trivial tree with finite edge stabilizers and icc vertex stabilizers admits a faithful and highly transitive action on an infinite countable se…
Highly transitive actions of free products
Soyoung Moon, Yves Stalder
We characterize free products admitting a faithful and highly transitive action. In particular, we show that the group $\PSL_2(\Z)\simeq (\Z/2\Z)*(\Z/3\Z)$ admits a faithful and hi…
Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups
Luc Guyot, Yves Stalder
We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes. We exhibit i…