Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymptotic behaviour of the number of Beauville and non-Beauville
  $p$-groups   We find asymptotic lower bounds for the numbers of both Beauville and
non-Beauville $2$-generator finite $p$-groups of a fixed order, which turn out
to coincide with the best known asymptotic lower bound for the total number of
$2$-generator finite $p$-groups of the same order. This shows that both
Beauville and non-Beauville groups are abundant within the family of finite
$p$-groups.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs