Subsequence sums of zero-sum free sequences over finite abelian groups
Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 119-127
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $G$ be a finite abelian group of rank $r$ and let $X$ be a zero-sum free sequence over $G$ whose support $\mathrm {supp}(X)$ generates $G$. In 2009, Pixton proved that $|\varSigma (X)|\geq 2^{r-1}(|X|-r+2)-1$ for $r \le 3$. We show that this result also holds for abelian groups $G$ of rank $4$ if the smallest prime $p$ dividing $|G|$ satisfies $p\geq 13$.
Keywords:
finite abelian group rank zero sum sequence whose support mathrm supp generates pixton proved varsigma geq r r result holds abelian groups rank smallest prime dividing satisfies geq
Affiliations des auteurs :
Yongke Qu 1 ; Xingwu Xia 1 ; Lin Xue 1 ; Qinghai Zhong 2
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title = {Subsequence sums of zero-sum free sequences over finite abelian groups},
journal = {Colloquium Mathematicum},
pages = {119--127},
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volume = {140},
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year = {2015},
doi = {10.4064/cm140-1-10},
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Yongke Qu; Xingwu Xia; Lin Xue; Qinghai Zhong. Subsequence sums of zero-sum free sequences over finite abelian groups. Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 119-127. doi: 10.4064/cm140-1-10
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