On f-Hypercentral Actions of Finite Group  

作　　者：Baojun Li Lu Gong 

机构地区：[1]School of Sciences,Nantong University,Nantong 226019,Jiangsu,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2021年第4期521-533,共13页数学与统计通讯（英文）

摘　　要：Let f be a formation function and G an A-group.It is said that A acts f-hypercentrally on G if A acts f-centrally on every A-composition factor of G.In this paper,groups are investigated by f-hypercentral actions.In particular,some well-known results,including a theorem of Huppert and a theorem of Hall-Higman,are generalized.

关 键 词：Finite group FORMATION f-hypercentral action NILPOTENCY 

分 类 号：O17[理学—数学]