Direct zero-sum problems for certain groups of rank three
Direct zero-sum problems for certain groups of rank three
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DOI：
10.1016/j.jnt.2018.08.016
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发表时间：
2018-06
影响因子：
0.7
通讯作者：
B. Girard;W. Schmid
中科院分区：
文献类型：
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作者：
B. Girard;W. Schmid
给出了具有2|n2|n3形式的三阶有限交换群GηC2≃Cn2⊕Cn3的η常数和多维Davenport常数的精确值，并在n2/2具有性质D或n2=n3的假设下确定了这些群的ErdőS Ginzburg Ziv常数.
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.