Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimal polynomials of powers of cycles in the ordinary
  representations of symmetric and alternating groups   Denote the alternating and symmetric groups of degree $n$ by $A_n$ and $S_n$
respectively. Consider a permutation $\sigma\in S_n$ all of whose nontrivial
cycles are of the same length. We find the minimal polynomials of $\sigma$ in
the ordinary irreducible representations of $A_n$ and $S_n$.

16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn