The Erdős-Ginzburg-Ziv theorem in Abelian non-cyclic groups.
Oscar Ramón Ordaz, Domingo Quiroz · 2000
A theorem by Caro states that every sequence of elements in an abelian non cyclic group of order n, not of the form Z2 ⊕ Z2m, with length 4n 3 + 1 contains an n-subsequence (subsequence of length n) with a zero-sum. In this paper, we obtain a more precise result by showing that in an abelian non cyclic group, not of the form Z2 ⊕ Z2m or Z3⊕Z3m, every sequence of length 5n 4 +2 contains an n-subsequence with a zero-sum.