Non-residually finite C₂-lattices

Key Points

• The study provides examples of lattices that are non-residually finite, diverging from established norms.
• It identifies that under the assumption of the normal subgroup property, five of the examined lattices are simple.
• The findings introduce a new perspective on the structure of lattices in the context of irreducible buildings.
• This work highlights the complexities surrounding non-residually finite lattices as it challenges pre-existing theories.