Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beauville structures in $p$-central quotients   We prove a conjecture of Boston that if $p\geq 5$, all $p$-central quotients
of the free group on two generators and of the free product of two cyclic
groups of order $p$ are Beauville groups. In the case of the free product, we
also determine Beauville structures in $p$-central quotients when $p=3$. As a
consequence, we give an explicit infinite family of Beauville $3$-groups, which
is different from the only one that was known up to date.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con