Let G be a finite abelian group and S be a sequence with terms in G. Let  denote the set of group elements which can be expressed as a sum of terms of a nonempty subsequence of S. We call S zero-sum free if  In this paper, we determine the lower bound of  when S is a zero-sum free sequence of elements from  with  This gives a positive answer to a case of a conjecture of Bollobás and Leader.

abelian group, subsequence sums, zero-sum free.

Received: May 6, 2022; Accepted: May 14, 2022; Published: May 25, 2022

How to cite this article: Jiangtao Peng and Yunbiao Peng, On subsequence sums of zero-sum free sequences over , JP Journal of Algebra, Number Theory and Applications 55 (2022), 73-77. http://dx.doi.org/10.17654/0972555522020

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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