Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutators of elements of coprime orders in finite groups   This paper is an attempt to find out which properties of a finite group G can
be expressed in terms of commutators of elements of coprime orders. A criterion
of solubility of G in terms of such commutators is obtained. We also conjecture
that every element of a nonabelian simple group is a commutator of elements of
coprime orders and we confirm this conjecture for the alternating groups.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys