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Quasirandom group | | W. T. Gower
; | | Date: |
20 Oct 2007 | | Abstract: | 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. | | Source: | arXiv, 0710.3877 | | Services: | Forum | Review | PDF | Favorites | |
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