2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75462We give an upper bound for the number of ``overlattices'' in the automorphism group of a tree, containing a fixed lattice with index n. For an example of a lattice in the automorphism group of a 2p-regular tree whose quotient is a loop, we obtain a lower bound of the asymptotic behavior as well.16 pages, to appear in Geom. DedicataGroup TheoryCounting overlattices in automorphism groups of treestext