Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The spectrum of group-based Latin squares   We construct sequencings for many groups that are a semi-direct product of an
odd-order abelian group and a cyclic group of odd prime order. It follows from
these constructions that there is a group-based complete Latin square of order
$n$ if and only if $n \in \{ 1,2,4\}$ or there is a non-abelian group of order
$n$.

14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga