English

A C2-tilde-lattice that is not residually finite

Group Theory 2023-10-06 v1

Abstract

We construct the first example of a lattice on an irreducible Euclidean building that is not residually finite. Conjecturally, the normal subgroup theorem extends to this lattice making it virtually simple.

Keywords

Cite

@article{arxiv.2310.03662,
  title  = {A C2-tilde-lattice that is not residually finite},
  author = {Thomas Titz Mite and Stefan Witzel},
  journal= {arXiv preprint arXiv:2310.03662},
  year   = {2023}
}

Comments

9 pages, 5 figures