Normal Subgroup Theorem for groups acting on $\tilde A_2$-buildings

Fuente: arXiv
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Autori principali: Bader, Uri, Furman, Alex, Lécureux, Jean
Natura: Preprint
Pubblicazione: 2023
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author Bader, Uri
Furman, Alex
Lécureux, Jean
author_facet Bader, Uri
Furman, Alex
Lécureux, Jean
contents Let $Γ$ be a group acting on with finite stabilizers and finite fundamental domain on a building of type $\tilde A_2$. We prove that any non-trivial normal subgroup of $Γ$ is of finite index in $Γ$.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13472
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Normal Subgroup Theorem for groups acting on $\tilde A_2$-buildings
Bader, Uri
Furman, Alex
Lécureux, Jean
Group Theory
Let $Γ$ be a group acting on with finite stabilizers and finite fundamental domain on a building of type $\tilde A_2$. We prove that any non-trivial normal subgroup of $Γ$ is of finite index in $Γ$.
title Normal Subgroup Theorem for groups acting on $\tilde A_2$-buildings
topic Group Theory
url https://arxiv.org/abs/2310.13472