Subsequence sums of zero-sum free sequences over finite abelian groups
Yongke Qu ; Xingwu Xia ; Lin Xue ; Qinghai Zhong
Colloquium Mathematicae, Tome 139 (2015), p. 119-127 / Harvested from The Polish Digital Mathematics Library
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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 supp(X) generates G. In 2009, Pixton proved that |Σ(X)|≥2r-1(|X|-r+2)-1 for r ≤ 3. We show that this result also holds for abelian groups G of rank 4 if the smallest prime p dividing |G| satisfies p ≥ 13.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:284207 
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Yongke Qu; Xingwu Xia; Lin Xue; Qinghai Zhong. Subsequence sums of zero-sum free sequences over finite abelian groups. Colloquium Mathematicae, Tome 139 (2015) pp. 119-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-1-10/