李型单群L_5(2)的新刻画  

On a New Characterization of Lee Type Simple Group L_5(2)

作　　者：张伟[1] 晏燕雄[2] 赵先鹤[3] 

机构地区：[1]重庆第二师范学院数学与信息工程系,重庆400067 [2]西南大学数学与统计学院,重庆400715 [3]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《西南师范大学学报（自然科学版）》2014年第7期18-21,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(U1204101);中央高校基本业务费专项资金资助(XDJK2014C163);重庆市科委自然科学基金(cstc2014jcyjA00010)

摘　　要：众所周知,有限群的特征标表能给出群结构的许多重要的信息,如有限非交换单群能够被特征标表唯一决定.利用有限群的特征标表的信息来刻画单群,并证明了李型单群L5(2)能够被它的阶和次高维不可约特征标维数决定.It is a well-known fact that characters of a finite group can give some important information of the group’s structure.For example,some people have proved that a finite simple group can be uniquely determined by its character table.Here the authors attempt to investigate how to characterize a finite almost simple group by means of less information of its character table,and successfully characterize simple group L5（2）by their orders and the second largest irreducible character degrees of their character tables.

关 键 词：有限群 特征标维数 单群 群的阶 

分 类 号：O152.1[理学—数学]