Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasirandom groups   Babai and S\'os have asked whether there exists a constant c>0 such that
every finite group G has a product-free subset of size at least c|G|: that is,
a subset X that does not contain three elements x, y and z with xy=z. In this
paper we show that the answer is no. Moreover, we give a simple sufficient
condition for a group not to have any large product-free subset.

4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th