Any small multiplicative sugroup is not a sumset
Abstract
We prove that for an arbitrary >0 and any multiplicative subgroup ⊂eq Fp, 1 || p2/3 - there are no sets B, C ⊂eq Fp with |B|, |C|>1 such that =B+C. Also, we obtain that for 1 || p6/7- and any ≠ 0 there is no a set B such that +1=B/B.
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