Quasirandom groups

Details Quasirandom groups Quasirandom groups

2007-10-20

arxiv.org/abs/0710.3877v1

Mathematics

Combinatorics

31 pages

Scientific paper

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.

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