Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Locally finite groups containing a $2$-element with Chernikov
  centralizer   Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov
centralizer. It is proved that if the involution in $\langle g\rangle$ has
nilpotent centralizer, then $G$ has a soluble subgroup of finite index.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg