Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isometry types of profinite groups   Let T be a rooted tree and Iso(T) be the group of isometries of T. Using
model-theoretic tools we study closed subgroups G of Iso(T) with respect to the
number of conjugacy classes of Iso(T) having representatives in G.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th