Adrien Le Boudec

activity

20162022

most citedPiecewise strongly proximal actions, free boundaries and the Neretin groups

1 citations · 1 across the 4 of their papers we have counts for

collaborators

11 papers

math.GR2022

Some torsion-free solvable groups with few subquotients

Adrien Le Boudec, Nicolás Matte Bon

We construct finitely generated torsion-free solvable groups $G$ that have infinite rank, but such that all finitely generated torsion-free metabelian subquotients of $G$ are virtu…

math.GR2022

Growth of actions of solvable groups

Adrien Le Boudec, Nicolás Matte Bon

Given a finitely generated group $G$ , we are interested in common geometric properties of all graphs of faithful actions of $G$ . In this article we focus on their growth. We say th…

math.GR2021★ 1 cited

Piecewise strongly proximal actions, free boundaries and the Neretin groups

Pierre-Emmanuel Caprace, Adrien Le Boudec, Nicolás Matte Bon

A closed subgroup $H$ of a locally compact group $G$ is confined if the closure of the conjugacy class of $H$ in the Chabauty space of $G$ does not contain the trivial subgroup. We…

math.GR2020

Confined subgroups and high transitivity

Adrien Le Boudec, Nicolás Matte Bon

An action of a group $G$ is highly transitive if $G$ acts transitively on $k$ -tuples of distinct points for all $k \geq 1$ . Many examples of groups with a rich geometric or dynamic…

math.GR2020

A commutator lemma for confined subgroups and applications to groups acting on rooted trees

Adrien Le Boudec, Nicolás Matte Bon

A subgroup $H$ of a group $G$ is confined if the $G$ -orbit of $H$ under conjugation is bounded away from the trivial subgroup in the space $Sub (G)$ of subgroups of $…

math.GR2020

Commensurated subgroups and micro-supported actions

Pierre-Emmanuel Caprace, Adrien Le Boudec, Dominik Francoeur

Let $Γ$ be a finitely generated group and $X$ be a minimal compact $Γ$ -space. We assume that the $Γ$ -action is micro-supported, i.e. for every non-empty open subset $U \subseteq X$ …