English

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

Group Theory 2025-10-09 v2

Abstract

Let Γ\Gamma be a group acting on with finite stabilizers and finite fundamental domain on a building of type A~2\tilde A_2. We prove that any non-trivial normal subgroup of Γ\Gamma is of finite index in Γ\Gamma.

Keywords

Cite

@article{arxiv.2310.13472,
  title  = {Normal Subgroup Theorem for groups acting on $\tilde A_2$-buildings},
  author = {Uri Bader and Alex Furman and Jean Lécureux},
  journal= {arXiv preprint arXiv:2310.13472},
  year   = {2025}
}
R2 v1 2026-06-28T12:56:48.169Z