Lattices in products of trees and a theorem of H.C. Wang

Marc Burger; Shahar Mozes

doi:10.1112/blms/bdu066

paper

Lattices in products of trees and a theorem of H.C. Wang

arXiv:1305.4922 · doi:10.1112/blms/bdu066

Abstract

We study cocompact lattices with dense projections in a product $G_{1} \times G_{2}$ of locally compact groups and show, under the assumption that each $G_{i}$ is a closed subgroup of the automorphism group $A u t (T_{i})$ of a regular tree satisfying certain local transitivity conditions, that such a lattice is contained in only finitely many discrete subgroups of $G_{1} \times G_{2}$ .

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Bounding the covolume of lattices in products