A Classification of Finite Metahamiltonian p-Groups

作     者：Xingui Fang Lijian An 

作者机构：School of Mathematics SciencePeking UniversityBeijing 100087People’s Republic of China Department of MathematicsShanxi Normal UniversityLinfen 041004ShanxiPeople’s Republic of China 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2021年第9卷第2期

页      面：239-260页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：This work was supported by NSFC(Nos.11971280 11771258) 

主　　题：Minimal non-abelian groups Hamiltonian groups Metahamiltonian groups A_(2)-groups 

摘      要：A finite non-abelian group G is called metahamiltonian if every subgroup of G is either abelian or normal in *** G is non-nilpotent,then the structure of G has been *** G is nilpotent,then the structure of G is determined by the structure of its Sylow ***,the classification of finite metahamiltonian p-groups is an unsolved *** this paper,finite metahamiltonian p-groups are completely classified up to isomorphism.