Corners Over Quasirandom Groups
نویسندگان
چکیده
منابع مشابه
Quasirandom Groups
Babai and Sos 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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ژورنال
عنوان ژورنال: Combinatorics, Probability and Computing
سال: 2017
ISSN: 0963-5483,1469-2163
DOI: 10.1017/s0963548317000190