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- W2139368414 abstract "Let $G$ be a finite cyclic group. Every sequence $S$ over $G$ can be written in the form $S=(n_1g)cdot...cdot(n_lg)$ where $gin G$ and $n_1,cdots,n_lin[1,{hbox{rm ord}}(g)]$, and the index $ind S$ of $S$ is defined to be the minimum of $(n_1+cdots+n_l)/hbox{rm ord}(g)$ over all possible $gin G$ such that $langle grangle=G$. A conjecture says that if $G$ is finite such that $gcd(|G|,6)=1$, then $ind(S)=1$ for every minimal zero-sum sequence $S$. In this paper, we prove that the conjecture holds if $S$ is reduced and the (A1) condition is satisfied(see [19])." @default.
- W2139368414 created "2016-06-24" @default.
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- W2139368414 date "2014-03-18" @default.
- W2139368414 modified "2023-09-24" @default.
- W2139368414 title "ON THE INDEX-CONJECTURE OF LENGTH FOUR MINIMAL ZERO-SUM SEQUENCES II" @default.
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- W2139368414 doi "https://doi.org/10.1142/s179304211350111x" @default.
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