Rigidity theorems show cocompact lattices are the unique infinite finitely generated commensurated subgroups up to commensurability in their commensurators, including for automorphism groups of trees.
176, Birkh\" a user Boston, Inc., Boston, MA, 2001, With appendices by Bass, L
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Lattices determined by their commensurator
Rigidity theorems show cocompact lattices are the unique infinite finitely generated commensurated subgroups up to commensurability in their commensurators, including for automorphism groups of trees.