Mathematical Citation Quotient (MCQ) 2017: 0.20
Inductive Methods and Zero-Sum Free Sequences
A fairly long-standing conjecture is that the Davenport constant of a group G = ℤn1 ⊕ ⋯ ⊕ ℤ nk with n 1 | ⋯ | nk is . This conjecture is false in general, but it remains to know for which groups it is true. By using inductive methods we prove that for two fixed integers k and it is possible to decide whether the conjecture is satisfied for all groups of the form with n co-prime to k.
We also prove the conjecture for groups of the form ℤ3 ⊕ ℤ3n ⊕ ℤ3n, where n is co-prime to 6, assuming a conjecture about the maximal zero-sum free sets in .
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