Geodesic
Subsequence sums of zero-sum free sequences over finite abelian groups
Yongke Qu 1   ; Xingwu Xia 1   ; Lin Xue 1   ; Qinghai Zhong 2
1 Department of Mathematics Luoyang Normal University Luoyang 471022, P.R. China
2 University of Graz Institute for Mathematics and Scientific Computing Heinrichstraße 36 8010 Graz, Austria
Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 119-127 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $p\geq 13$.
DOI : 10.4064/cm140-1-10
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

Yongke Qu  1   ; Xingwu Xia  1   ; Lin Xue  1   ; Qinghai Zhong  2

1 Department of Mathematics Luoyang Normal University Luoyang 471022, P.R. China
2 University of Graz Institute for Mathematics and Scientific Computing Heinrichstraße 36 8010 Graz, Austria 
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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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