Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Product set estimates for non-commutative groups   We develop the Pl\"unnecke-Ruzsa and Balog-Szemer\'edi-Gowers theory of sum
set estimates in the non-commutative setting, with discrete, continuous, and
metric entropy formulations of these estimates. We also develop a Freiman-type
inverse theorem for a special class of 2-step nilpotent groups, namely the
Heisenberg groups with no 2-torsion in their centre.

22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org