The authors build simple uniform lattices in products of trees and 2D Davis complexes of right-angled Coxeter groups defined by odd graphs, together with an analogue of Burger-Mozes universal groups and a local density criterion.
Finitely presented simple groups and prod- ucts of trees.Comptes Rendus de l’Acad´ emie des Sciences-Series I-Mathematics, 324(7):747–752
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Simple Lattices in Products of Davis Complexes
The authors build simple uniform lattices in products of trees and 2D Davis complexes of right-angled Coxeter groups defined by odd graphs, together with an analogue of Burger-Mozes universal groups and a local density criterion.