14 citations · 29 across the 16 of their papers we have counts for
5 papers · 1 filter
On strongly just infinite profinite branch groups
François Le Maître, Phillip Wesolek
For profinite branch groups, we first demonstrate the equivalence of the Bergman property, uncountable cofinality, Cayley boundedness, the countable index property, and the conditi…
Highly faithful actions and dense free subgroups in full groups
François Le Maître
In this paper, we show that every measure-preserving ergodic equivalence relation of cost less than m comes from a "rich" faithful invariant random subgroup of the free group on m…
Chief factors in Polish groups
Colin D. Reid, Phillip R. Wesolek
In finite group theory, chief factors play an important and well-understood role in the structure theory. We here develop a theory of chief factors for Polish groups. In the develo…
Infinitesimal generators and quasi non-archimedean topological groups
Tsachik Gelander, François Le Maître
We show that connected separable locally compact groups are infinitesimally finitely generated, meaning that there is an integer such that every neighborhood of the identity co…
Connected Polish groups with ample generics
Adriane Kaïchouh, François Le Maître
In this paper, we give the first examples of connected Polish groups that have ample generics, answering a question of Kechris and Rosendal. We show that any Polish group with ampl…