On the relative Davenport constant
Let \(G\) be a finite Abelian group and let \(a\in G\). A sequence \(\sigma\) of elements of \(G\) is called irreducible if every proper subsequence of \(\sigma\) has a non-zero sum. The relative Davenport constant \(D_a(G)\) is defined as the largest integer \(k\) such that \(a\) is a sum of some irreducible sequence of length \(k\). The author computes the relative Davenport constant if \(G\) is the direct sum of two cyclic groups.
scientific article; zbMATH DE number 1212322