Counting overlattices in automorphism groups of trees

Mathematics – Group Theory

Scientific paper

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16 pages, to appear in Geom. Dedicata

Scientific paper

We 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.

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