Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some sufficient conditions for $\pi$-nilpotence of finite groups   Let $G$ be a group, and $H$ a nilpotent non-normal subgroup of $G$ such that
the normalizer of any non-trivial normal subgroup of $\frac{H}{C}$ is equal to
$\frac{H}{C}$ where $C$ is the core of $H$ in $G$. We show that if
$\frac{H}{C}$ is not a $2$-group, then $\frac{G}{C}$ is a Frobenius group with
complement $\frac{H}{C}$.

33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con