On complete subsets of the cyclic group

摘要: A subset X of an abelian G is said to be complete if every element can expressed as a nonempty sum distinct elements from X. Let [email protected]?Z"n such that all the are coprime with n. Solving conjecture Erdos and Heilbronn, Olson proved n prime |A|>2n. Recently Vu there absolute constant c, for arbitrary large n, |A|>=cn, conjectured 2 essentially right value c. We show |A|>1+2n-4, thus proving last conjecture.