一类具有较少正规子群的有限p-群  

A classs of finite p-groups with few normal subgroups

作　　者：王俊新[1] 白鹏飞 WANG Jun-xin;BAI Peng-fei(Faculty of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,Shanxi,China)

机构地区：[1]山西财经大学应用数学学院,山西太原030006

出　　处：《山东大学学报（理学版）》2020年第8期92-97,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11771271,11801334)。

摘　　要：给出了N1-p-群的完全分类。所谓N1-群是指一个群G仅有1个正规子群既不包含G′又不包含在Z(G)中。The N1-p-groups are completely classified.The so-called N1-group is a group G that has only one normal subgroup which neither contains G′nor is contained in Z(G).

关 键 词：N1-p-群 导群G′ 中心Z(G) 

分 类 号：O152.1[理学—数学]