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math.GR2024
On the space of subgroups of Baumslag-Solitar groups II: High transitivity
Damien Gaboriau, François Le Maître, Yves Stalder
We continue our study of the perfect kernel of the space of transitive actions of Baumslag-Solitar groups by investigating high transitivity. We show that actions of finite phenoty…
math.GR2021
Property (T) for Roelcke precompact Polish groups (after Ibarlucía, building on work of Ben Yaacov and Tsankov)
François Le Maître
We present a recent result of Ibarlucía stating that every Roelcke precompact Polish group has Kazhdan's property (T). This striking theorem builds on the characterization of Roelc…
math.GR2018
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…