Groups acting properly and cocompactly on 2D Euclidean buildings have the normal subgroup property, so their non-residually finite lattices are virtually simple and yield the first simple lattices on irreducible Euclidean buildings.
35, EMS Press, 2023
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The Normal Subgroup Theorem for lattices on two-dimensional Euclidean buildings
Groups acting properly and cocompactly on 2D Euclidean buildings have the normal subgroup property, so their non-residually finite lattices are virtually simple and yield the first simple lattices on irreducible Euclidean buildings.