正交群O_(10)^(±)(2)的新刻画  

A New Characterization of Orthogonal Groups O_(10)^(±)(2)

作　　者：程敏 杨国川 晏燕雄[1] CHENG Min;YANG Guochuan;YAN Yanxiong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;208 Hydrogeology Engineering Geology Team,Chongqing 400700,China)

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]208水文地质工程地质队,重庆400700

出　　处：《西南师范大学学报（自然科学版）》2022年第9期10-13,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11971391;12071376);重庆市自然科学基金项目(cstc2021jcyj-msxmX0426);中央高校基本业务费项目(XDJK2019B030)。

摘　　要：众所周知,有限群的共轭类长对群的结构有重要的影响.该文继续研究了群的共轭类长与群结构之间的关系,并利用群的阶与群的某特殊共轭类长成功地刻画了两个正交群O_(10)^(±)(2).It is well-known that the conjugacy class sizes of a finite group has an important influence on the structure of a group.In this paper,we continue to investigate this topic,and study the relationship between the conjugacy class sizes and the structure of a finite group.In particular,we successfully characterize the two orthogonal groups O_(10)^(±)(2) using their orders and one special conjugacy class sizes.

关 键 词：正交群 群的阶 素图 共轭类长 

分 类 号：O152.1[理学—数学]