Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple groups admit Beauville structures   We answer a conjecture of Bauer, Catanese and Grunewald showing that all
finite simple groups other than the alternating group of degree 5 admit unmixed
Beauville structures. We also consider an analog of the result for simple
algebraic groups which depends on some upper bounds for character values of
regular semisimple elements in finite groups of Lie type and obtain definitive
results about the variety of triples in semisimple regular classes with product
1. Finally, we prove that any finite simple group contains two conjugacy
classes C,D such that any pair of elements in C x D generates the group.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom