Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite groups with $\mathbb P$-subnormal primary cyclic subgroups   A subgroup $H$ of a group $G$ is called $\mathbb P$-subnormal in $G$ whenever
either $H=G$ or there is a chain of subgroups $H=H_0\subset H_1\subset ...
\subset H_n=G$ such that $|H_i:H_{i-1}|$ is a prime for all $i$. In this paper,
we study the groups in which all primary cyclic subgroups are $\mathbb
P$-subnormal.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin