Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On almost subnormal subgroups in division rings   Let $D$ be a division ring with infinite center $F$, and $G$ an almost
subnormal subgroup of $D^*$. In this paper, we show that if $G$ is locally
solvable, then $G\subseteq F$. Also, assume that $M$ is a maximal subgroup of
$G$. It is shown that if $M$ is non-abelian locally solvable, then $[D:F]=p^2$
for some prime number $p$. Moreover, if $M$ is locally nilpotent then $M$ is
abelian.

27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th