Representation of group elements as subsequence sums Original Research Article

Let G be a finite (additive written) abelian group of order image. Let image be integers coprime to n such that image (mod n). Let I be a set of cardinality image and let image be a sequence of elements of G. Suppose that for every subgroup H of G and every image, image contains at most image terms in image. Then, for every image, there is a subsequence image of image such that image. Our result implies some known generalizations of the Erdős–Ginzburg–Ziv Theorem.