Abstract
Let G be a finite Abelian group and D(G) its Davenport constant, which is defined as the maximal length of a minimal zero-sum sequence in G. We show that various problems on zero-sum sequences in G may be interpreted as certain covering problems. Using this approach we study the Davenport constant of groups of the form ( Z/n Z) r , with n≥2 and r∈ N . For elementary p-groups G, we derive a result on the structure of minimal zero-sum sequences S having maximal length |S|= D(G) .
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