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.
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness.Bulletin of the London Mathematical Society, 54(4):1413– 1419
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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.