6 citations · 10 across the 7 of their papers we have counts for
8 papers
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 Urysohn spaces
Pierre Fima, François Le Maître, Julien Melleray +1
We show that many countable groups acting on trees, including free products of infinite countable groups and surface groups, are isomorphic to dense subgroups of isometry groups of…
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…
Permanent properties of amenable, transitive and faithful actions
Soyoung Moon
We study hereditary properties of the class of countable groups admitting an amenable, transitive and faithful action on a countable set. We consider mainly the case of amalgamated…