Virtual simplicity conjecture for lattices in exotic affine buildings
Let be an affine building of type that is not isomorphic to the building associated to , where is a finite-dimensional division algebra over a local field, and let be a lattice in . Virtual simplicity conjecture. Then is virtually simple. The question concerns normal subgroups of lattices in possibly exotic affine buildings; finite-index normal subgroups are abundant for linear lattices, while the existence of finite quotients for non-linear lattices is not understood.
References
Primary source
Uri Bader, Pierre-Emmanuel Caprace and Jean Lécureux, “On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow”, arXiv:1608.06265 (2018).
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