Minimal zero-sequences and the strong Davenport constant Original Research Article

Let G be a finite Abelian group and U(G) the set of minimal zero-sequences on G. If M1 and M2∈U(G), then set M1∼M2 if there exists an automorphism ϕ of G such that ϕ(M1)=M2. Let O(M) represent the equivalence class of M under ∼. In this paper, we consider problems related to the size of an equivalence class of sequences in U(G) and also examine a stronger form of the Davenport constant of G.