On a classical zero-sum invariant
Alfred Geroldinger, Wenkai Yang
Abstract
Let G be a nontrivial, finite abelian group. Then ν(G) is the smallest integer such that every zero-sum free sequence T over G of length at least 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 ν(G), which was introduced in Zero-Sum Theory in the 1960s.
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