Geometriae Dedicata

, Volume 118, Issue 1, pp 1–21

Counting Overlattices in Automorphism Groups of Trees

Authors

Article

DOI: 10.1007/s10711-004-4196-7

Cite this article as:
Lim, S. Geom Dedicata (2006) 118: 1. doi:10.1007/s10711-004-4196-7

Abstract

We give an upper bound for the number uΓ(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.

Keywords

groups acting on treesgraph of groups

Mathematics Subject Classification (2000)

20F6520E08
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© Springer 2006