如果在群Cn⊕Cn中,每个含有2n-1个元素的极小零和序列中都包含一些阶数为n-1的元素,那么我们称正整数n具有性质B.在二维阿贝尔群的零和理论中,性质B是一个中心议题.关于性质B这一问题最早是由高维东教授和A.Geroldinger提出并进行研究[1-3].之后,他们证明了如果n具有性质B[4-6],当n大于等于6时,2n也具有性质;还证明了如果n∈{2,3,4,5,6,7},n具有性质B.在文[7]中,我们证明了n=10时,n具有性质B.本文证明n=8时,n也具有性质B.%We say a positive integer n has Property B if every minimal zero-sum subsequence of 2 n -1 elements in Cn⊕Cn contains some elements n-1 times.Property B is a central topic in zero-sum theory on abelian group G with rank two .Property B has been first formulated and investigated by professer W .D.Gao and A. Geroldinger in [1-3] .It has been proved that if n≥6 and if n has Property B, then 2n has Property B.It has been also proved that if n∈{2,3,4,5,6,7}, then n has property B[4-6] .In [7], we proved that n=10 has Property B.In this paper , we will verify that n=8 has Property B .
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