A Classification of Finite Metahamiltonian p-Groups
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.