置换群的共轭类计算数学模型

对置换群的共轭类作了进一步的理论探讨．在理论研究的基础上，对二面体群、对称群和交代群作了具体的讨论，得到了二面体群的共轭类求法的一个通式模型，求出了低阶对称群和交代群的共轭类模型．给群中的元素分类是群论中一个非常重要的内容，利用置换群中元素的共轭将群的元素分成一些共轭类，这样就可以得到群的一个分类方法，

The Mathematical Modeling of the Calculation of the Conjugacy Classes in the Permutation Groups

Based on the theoretical discussions,we develop enough theory to determine the conjugacy classes of the permutation groups such as dihedral,symmetric and alternating groups and deduce the modeling of a current formula of the dihedral groups and a formula of the low size symmetric and alternating groups.Classifying the group is a very important work in the theory of group.Classifying the group is a very important work in the theory of group.We get a way that uses the conjugacy classes of the permutation group to structure the group to classify the group.