Non-residually finite $\tilde{C}_2$-lattices
Group Theory
2025-09-08 v1
Abstract
We provide the first examples of lattices on irreducible buildings that are not residually finite. Assuming that the normal subgroup property holds for them (which is expected) five of the lattices are simple.
Keywords
Cite
@article{arxiv.2509.05054,
title = {Non-residually finite $\tilde{C}_2$-lattices},
author = {Thomas Titz Mite and Stefan Witzel},
journal= {arXiv preprint arXiv:2509.05054},
year = {2025}
}
Comments
39 pages, 8 figures