Finite p-groups with few normal subgroups

被引：6

作者：

Silberberg, G ^{[1
]}

机构：

[1] Tech Univ Timisoara, Dept Math, RO-1900 Timisoara, Romania

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2000年 / 7卷 / 03期

关键词：

p-group; normal subgroup;

D O I：

10.36045/bbms/1103055651

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the finite nonabelian p-groups G with the property that every normal subgroup of G either contains the commutator subgroup G', or is contained in the center of G. We will prove that the nilpotency class of G is 2 or 3 and we will find all such groups with nilpotency class 3.

引用

页码：365 / 376

页数：12