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We study cocompact lattices with dense projections in a productG  1   ×   G  2of 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 ofG  1   ×   G  2    .

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