Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Liftez les Sylows! Une suite \`a ``Sous-groupes periodiques d'un groupe
  stable''   If $G$ is an omega-stable group with a normal definable subgroup $H$, then
the Sylow-$2$-subgroups of $G/H$ are the images of the Sylow-$2$-subgroups of
$G$.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg