Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite extension of group with infinite conjugacy classes   We characterize the group property of being with infinite conjugacy classes
(or icc, i.e. \not= 1 and of which all conjugacy classes except 1 are infinite)
for finite extensions of group.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th