一类可排序群的排序个数问题

The Problem of the Number of Sequencings for a Class of Sequenceable Groups

把群的基本性质同组合数学相关知识相结合,主要研究了可排序群的排序个数问题,得到了交换群元素排序个数的计算公式等几个有意义的结果,而且这些结果反过来也可以确定群,特别是交换群的结构。

This paper mainly devotes to a problem of the number of sequencings for Abelian sequenceable groups by connecting basic properties of groups with combinatorial methemabics. Some significant results are obtained, such as the computation formula of the number of sequencings in Abelian groups. Conversely, the structure of Abelian groups can be determined using our results.