Bader–Caprace–Lécureux's virtual simplicity conjecture for exotic Euclidean building lattices

Let XX be an irreducible, locally finite, exotic Euclidean building and let Γ<Aut(X)\Gamma < \operatorname{Aut}(X) be a lattice. Bader–Caprace–Lécureux's conjecture. Then Γ\Gamma is virtually simple. This conjecture predicts that exotic lattices in irreducible locally finite Euclidean buildings have the strong normal-subgroup rigidity familiar from arithmetic lattices; the supplied text gives no resolution.

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Primary source

Thomas Titz Mite and Stefan Witzel, “A C2-tilde-lattice that is not residually finite”, arXiv:2310.03662 (2023).

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