Normal subgroup theorem for groups acting on $\widetilde A_{2}$-buildings

Uri Bader; Alex Furman; Jean Lécureux

doi:10.4171/jems/1747

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Normal subgroup theorem for groups acting on $A_{2}$ -buildings

Uri Bader
Weizmann Institute of Science, Rehovot, Israel; University of Maryland, College Park, USA
Alex Furman
University of Illinois at Chicago, USA
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Jean Lécureux
Université de Bordeaux, Talence, France

$Normal subgroup theorem for groups acting on $\widetilde A_{2}$-buildings cover$

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Abstract

Let $Γ$ be a group acting 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 finite index in $Γ$ .

Cite this article

Uri Bader, Alex Furman, Jean Lécureux, Normal subgroup theorem for groups acting on $A_{2}$ -buildings. J. Eur. Math. Soc. (2026), published online first

DOI 10.4171/JEMS/1747