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arXiv · 1702.00807

Zero-sum invariants of finite abelian groups

Weidong Gao·Yuanlin Li·Jiangtao Peng·Guoqing Wang
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Abstract

The purpose of the article is to provide an unified way to formulate zero-sum invariants. Let $G$ be a finite additive abelian group. Let $B(G)$ denote the set consisting of all nonempty zero-sum sequences over G. For $Ω\subset B(G$), let $d_Ω(G)$ be the smallest integer $t$ such that every sequence $S$ over $G$ of length $|S|\geq t$ has a subsequence in $Ω$.We provide some first results and open problems on $d_Ω(G)$.

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Weidong Gao, Yuanlin Li, Jiangtao Peng, Guoqing Wang. 2017-02-02. Zero-sum invariants of finite abelian groups. https://arxiv.org/abs/1702.00807

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