Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intersection growth in groups   The intersection growth of a group $G$ is the asymptotic behavior of the
index of the intersection of all subgroups of $G$ with index at most $n$, and
measures the Hausdorff dimension of $G$ in profinite metrics. We study
intersection growth in free groups and special linear groups and relate
intersection growth to quantifying residual finiteness.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ