Counting Overlattices in Automorphism Groups of Trees |
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| Authors: | Seonhee Lim |
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| Affiliation: | (1) Yale University, PO Box 208283, New Haven, CT, 06520-8283, U.S.A;(2) ENS Paris, UMR 8553, 45 rue d’Ulm, 75230 Paris Cedex 05, France |
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| Abstract: | We give an upper bound for the number u Γ(n) of “overlattices” in the automorphism group of a tree, containing a fixed lattice Γ with index n. For an example of Γ 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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| Keywords: | groups acting on trees graph of groups |
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