Subsequence sums of zero-sum free sequences over finite abelian groups

• Autorzy: Yongke Qu , Xingwu Xia , Lin Xue , Qinghai Zhong
• Języki publikacji: EN

Abstrakty

EN

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 $|Σ(X)| ≥ 2^{r-1}(|X|-r+2) - 1$ 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.

Kategorie tematyczne

• 11P99: None of the above, but in this section
• 11B50: Sequences (mod m )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 1
• Strony: 119-127

Daty

wydano

2015

Twórcy

autor

Yongke Qu

• Department of Mathematics, Luoyang Normal University, Luoyang 471022, P.R. China

autor

Xingwu Xia

• Department of Mathematics, Luoyang Normal University, Luoyang 471022, P.R. China

autor

Lin Xue

• Department of Mathematics, Luoyang Normal University, Luoyang 471022, P.R. China

autor

Qinghai Zhong

• University of Graz, Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria

Identyfikatory

DOI

10.4064/cm140-1-10