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...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 simple groups for which the recognition problem is solved.展开更多
基金supported by Foreign Experts program in Jiangsu Province(No.JSB2018014)supported by the National Natural Science Foundation of China(No.12171126)+1 种基金supported by the RFBR(No.20-51-00007)supported by the National Natural Science Foundation of China(11171364,11671063).
文摘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 simple groups for which the recognition problem is solved.