A Characterization of Almost Simple K_3-groups  

作　　者：Yan Xiong YAN Hai Jing XU Gui Yun CHEN 

机构地区：[1]School of Mathematics and Statistics, Southwest University [2]Faculty of Education, Southwest University

出　　处：《Acta Mathematica Sinica,English Series》2015年第11期1739-1750,共12页数学学报（英文版）

基　　金：Supported by Natural Science Foundation of China(Grant Nos.11171364,11271301,11471266 and11426182);"the Fundamental Research Funds for the Central Universities"(Grant Nos.XDJK2014C163,XDJK2014C162);Natural Science Foundation Project of CQ CSTC(Grant No.cstc2014jcyj A00010);Postdoctoral Science Foundation of Chongqing(Grant No.Xm2014029);China Postdoctoral Science Foundation(Grant No.2014M562264)

摘　　要：It is a well-known fact that characters of a finite group can give important information about the group＇s structure. Also it was proved by the third author of this article 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 using less information of its character table, and successfully characterize the almost simple K3-groups by their orders and at most three irreducible character degrees of their character tables.It is a well-known fact that characters of a finite group can give important information about the group＇s structure. Also it was proved by the third author of this article 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 using less information of its character table, and successfully characterize the almost simple K3-groups by their orders and at most three irreducible character degrees of their character tables.

关 键 词：Finite group irreducible character character degree simple group 

分 类 号：O152.1[理学—数学] TH162[理学—基础数学]