非正规子群链长为3的有限p群  

Finite p-Groups Whose Length of Chain of Nonnormal Subgroups is 3

作　　者：贺丽娟 李璞金 HE Li-juan;LI Pu-Jin(College of Mathematics and Computer Science,Shanxi Normal University,Linfen 041000,Shanxi,China)

机构地区：[1]山西师范大学数学与计算机科学学院,山西临汾041000

出　　处：《山西师范大学学报（自然科学版）》2021年第1期5-10,共6页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：山西师范大学研究生科技创新项目(2019XSY019).

摘　　要：设G为有限非Dedekind p群,则■H≤G,使得H■G.设p> 2,对于非正规子群链长为3的有限p群,本文主要分类了chn(G)=3且非正规子群的阶恰为pm,pm+1,pm+2(m≥3)的有限p群,记这类群为P群.Suppose that G is a finite non-Dedekind p-group.Let H is a non-normal subgroups of G.Let p>2.For the finite p-groups Whose Length of Chain of Nonnormal Subgroups is 3,this paper mainly groups G such that m(G)≥3,M(G)-m(G)=2 and chn(G)=3.we denoted such this p-groups as P groups.

关 键 词：有限P群 亚Hamiltonp群 非正规子群 

分 类 号：O152[理学—数学]