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 ...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.展开更多
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)+2 种基金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)
文摘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.
