对称群S_(63)和S_(64)的新刻画  

A New Characterization of the Symmetric Groups S_(63) and S_(64)

作　　者：罗艳[1] 

机构地区：[1]重庆第二师范学院数学与信息工程系,重庆400067

出　　处：《西南师范大学学报（自然科学版）》2013年第4期8-11,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市科委自然科学基金资助项目(cstc2011jjA00020)

摘　　要：群G称为k-重OD-刻画的,如果恰好有k个不同构的群M,使得|G|=|M|且D(G)=D(M).利用有限群的阶和群的次数型分别研究了次数为63和64的对称群,得到:对称群S63和S64均为3-重OD-刻画的.The group G is called k-fold OD-characterizable if there exist exactly k non-isomorphic groups Msatisfying conditions ｜G｜ = ｜M｜ and D（G）=D（M）. In this paper, we study the symmetric groups of de-grees 63 and 64 by their orders and degree patterns. In fact, the symmetric groups S63 and S64 are 3-fold OD-characterizable.

关 键 词：对称群 几乎单群 顶点的次数 次数型 素图 

分 类 号：O152.1[理学—数学]