Virtual simplicity conjecture for lattices in exotic affine buildings
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.
Sources & referencesView supporting material
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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