Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On grouops with formational subnormal or self-normalizing subgroups   We establish the structure of finite groups with $\mathfrak{F}$-subnormal or
self-normalizing primary cyclic subgroups in case $\mathfrak{F}$ is a
subgroup-closed saturated superradical formation containing all nilpotent
groups.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th