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MINIMAL ZERO-SUM SEQUENCES IN FINITE CYCLIC GROUPS

MINIMAL ZERO-SUM SEQUENCES IN FINITE CYCLIC GROUPS

Let $C_n$ be the cyclic group of order $n$, $n\geq 20$, and let $S=\prod_{i=1}^k g_i$ be a minimal zero-sum sequence of elements in $C_n$. We say that $S$ is insplitable if for any $g_i\in S$ and any two elements $x,y\in C_n$ satisfying $x+y=g_i$, $Sg_i^{-1}xy$ is not a minimal zero-sum sequence …