2 papers
math.GR2024
A Tits alternative for -buildings of type
Corentin Le Bars, Jean Lécureux, Jeroen Schillewaert
Let be a group with a non-elementary action on a (not necessarily discrete) -buildings. We prove that, given a random walk on , isometries in are strongly r…
math.GR2023
Normal Subgroup Theorem for groups acting on -buildings
Uri Bader, Alex Furman, Jean Lécureux
Let be a group acting on with finite stabilizers and finite fundamental domain on a building of type . We prove that any non-trivial normal subgroup of is of fi…