5次对称群S_(5)的子群  

The Subgroups of 5-Degree Symmetric Group S_(5)

作　　者：占颖 张细苟 ZHAN Ying;ZHANG Xigou(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)

机构地区：[1]江西师范大学数学与统计学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2021年第2期198-203,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11961031)资助项目.

摘　　要：利用在群论中一些重要的定理以及在n次对称群中的重要知识,该文通过理论推导得到了对称群S_(5)的所有子群(共156个),并分析了这些子群的结构.In this paper,it is concluded that there are 156 subgroups in S_(5) through theoretical derivation by using some important theorems in group theory and important knowledge in symmetric groups.And the structure of these subgroups are analyzed.

关 键 词：n次对称群S_(n) 子群 LAGRANGE定理 SYLOW定理 

分 类 号：O152.1[理学—数学]