Groups with a finite number of normalizer subgroups

被引：5
|
作者：
Tota, M [1 ]
机构：
[1] Univ Salerno, Dipartimento Matemat & Informat, I-84081 Fisciano, SA, Italy
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 12期
关键词：
normalizer subgroups; central-by-finite groups;
D O I：
10.1081/AGB-200036827
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The groups having exactly one normalizer are well-known. They are the Dedekind groups. All finite groups having exactly two normalizers were classified by M. D. Perez-Ramos and, in a recent paper, S. Camp-Mora generalized that result to locally finite groups. In this paper, we will characterize arbitrary groups with a finite number of normalizers and we will investigate the properties of arbitrary groups with two, three and four normalizers.
引用
收藏
页码：4667 / 4674
页数：8
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