Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting overlattices in automorphism groups of trees   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.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
37
The categories of this paper are: supr-con