supported by Foreign Experts program in Jiangsu Province(No.JSB2018014);supported by the National Natural Science Foundation of China(No.12171126);supported by the RFBR(No.20-51-00007);supported by the National Natural Science Foundation of China(11171364,11671063).
The spectrum of a finite group is the set of element orders of this group.The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum,in particular,to list all finite si...
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)
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 ...