Counting overlattices in automorphism groups of trees
Group Theory
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0506217,
title = {Counting overlattices in automorphism groups of trees},
author = {Seonhee Lim},
journal= {arXiv preprint arXiv:math/0506217},
year = {2007}
}
Comments
16 pages, to appear in Geom. Dedicata