Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Profinite completions of Burnside-type quotients of surface groups   Using quantum representations of mapping class groups we prove that profinite
completions of Burnside-type surface group quotients are not virtually
prosolvable, in general. Further, we construct infinitely many finite simple
characteristic quotients of surface groups.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol