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arXiv · 2608.19090

On a classical zero-sum invariant

Alfred Geroldinger·Wenkai Yang
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Abstract

Let $G$ be a nontrivial, finite abelian group. Then $\nu (G)$ is the smallest integer $\ell$ such that every zero-sum free sequence $T$ over $G$ of length at least $\ell$ has the following property: all nonzero elements of $G$ that do not occur as a subsequence sum of $T$ lie in a proper coset of some subgroup of $G$. We study the invariant $\nu (G)$, which was introduced in Zero-Sum Theory in the 1960s.

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Alfred Geroldinger, Wenkai Yang. 2026-08-19. On a classical zero-sum invariant. https://arxiv.org/abs/2608.19090

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