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.
On regular CAT(0) cube complexes and the simplicity of auto- morphism groups of rank-one CAT(0) cube complexes.Commentarii Mathematici Helvetici, 93(1):33–54
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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.