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Direct zero-sum problems for certain groups of rank three

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Abstract We determine the exact value of the η-constant and the multiwise Davenport constants for finite abelian groups of rank three having the form G ≃ C 2 ⊕ C… Click to show full abstract

Abstract We determine the exact value of the η-constant and the multiwise Davenport constants for finite abelian groups of rank three having the form G ≃ C 2 ⊕ C n 2 ⊕ C n 3 with 2 | n 2 | n 3 . Moreover, we determine the Erdős–Ginzburg–Ziv constant of these groups under the assumption that n 2 / 2 has Property D or n 2 = n 3 .

Keywords: sum problems; problems certain; rank three; direct zero; zero sum; groups rank

Journal Title: Journal of Number Theory
Year Published: 2019

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