Davenport constant for finite abelian groups with higher rank

For a finite abelian group G, the Davenport Constant, denoted by D (G), is defined to be the least positive integer k such that every sequence of length at least k has a non-trivial zero-sum subsequence. A long-standing conjecture is that the Davenport constant of a finite abelian group G =C₍䃑 C₍₃ of rank d N is 1+₈=₁ᵈ (nᵢ-1). This conjecture is false in general, but it remains to know for which groups it is true. In this paper, we consider groups of the form G = (Cₚ) ^d-1 C₏ₐ, where p is a prime and q N and provide sufficient condition when the conjecture holds true.