摘要
利用计算机获得了Ｓ６ 的３个重要结果：Ｓ６中循环子群之阶只能是１，２，３，４，５，６；Ｓ６中共有循环子群３６２ 个，每个子群的构造均已清楚；３６２ 个循环子群共分为１１个共轭类，其中１阶、５阶子群名１ 个类，２阶子群３个类，３阶，４阶，６ 阶子群各２个类，且将每类所含子群均已列出。
Important properties of symmetric group S 6 are obtained through the method of calculation, the main results are described as following:1) The order of cyclic subgroups in S 6 are 1,2,3,4,5,6;2)There are three hundred and sixty two cyclic subgroups in S 6 ;3) There are eleven conjugate classes of cyclic subgroups in S 6 .
基金
湖北省自然科学基金资
关键词
对称群
子群
循环群
有限群
symmetric group
\ subgroup
\ computer
\ program
