Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Growth in SL_3(Z/pZ)   Let G=SL_3(Z/pZ), p a prime. Let A be a set of generators of G. Then A grows
under the group operation.
  To be precise: denote by |S| the number of elements of a finite set S. Assume
|A| < |G|^{1-\epsilon} for some \epsilon>0. Then |A\cdot A\cdot
A|>|A|^{1+\delta}, where \delta>0 depends only on \epsilon.
  We also study subsets A\subset G that do not generate G. Other results on
growth and generation follow.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex