用极大交换子群阶的集合刻画S_(n)  

Characterization of S_(n) by the Set of Orders of Its Maximal Abelian Subgroups

作　　者：高丽 汪忠碧 陈贵云[1] GAO Li;WANG Zhongbi;CHEN Guiyun(School of Mathematics and Statistics, Southwest University, Chongiqng 400715, China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2022年第4期21-24,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(12071376).

摘　　要：本文研究了与对称群的极大交换子群的阶的集合相同的有限群,并证明了对称群S_(n)(5≤n≤8)可由其极大交换子群的阶的集合刻画.In this paper,some finite groups which have the same set of orders of maximal abelian subgroups of some symmetric groups has been studied,and that the symmetric groups S_(n)(5≤n≤8)can be uniquely characterized by the set of orders of maximal abelian subgroups.

关 键 词：素图 极大交换子群 对称群 

分 类 号：O152.1[理学—数学]