Jean L'ecureux

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math.GR2024

A Tits alternative for $R$ -buildings of type $A ~_{2}$

Corentin Le Bars, Jean Lécureux, Jeroen Schillewaert

Let $G$ be a group with a non-elementary action on a (not necessarily discrete) $A ~_{2}$ -buildings. We prove that, given a random walk on $G$ , isometries in $G$ are strongly r…

math.GR2023

Normal Subgroup Theorem for groups acting on $A ~_{2}$ -buildings

Uri Bader, Alex Furman, Jean Lécureux

Let $Γ$ be a group acting on with finite stabilizers and finite fundamental domain on a building of type $A ~_{2}$ . We prove that any non-trivial normal subgroup of $Γ$ is of fi…

A Tits alternative for R-buildings of type A~2​

Normal Subgroup Theorem for groups acting on A~2​-buildings

A Tits alternative for $R$ -buildings of type $A ~_{2}$

Normal Subgroup Theorem for groups acting on $A ~_{2}$ -buildings