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Improving upon earlier results of Freiman and the present authors, we show that if  p  is a sufficiently large prime and  A  is a sum‐free subset of the group of order  p , such that  n : = | A | > 0.318 p , then  A  is contained in a dilation of the interval [ n ,  p  − n ] (mod  p ).

A refined bound for sum‐free sets in groups of prime order