On metahamiltonian groups of infinite rank

被引：10

作者：

De Falco, M. ^{[1
]}

De Giovanni, F. ^{[1
]}

Musella, C. ^{[1
]}

Sysak, Y. P. ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

[2] Ukrainian Natl Acad Sci, Inst Math, UA-01601 Kiev, Ukraine

来源：

JOURNAL OF ALGEBRA | 2014年 / 407卷

关键词：

Metahamiltonian group; Group of infinite rank; PROPER SUBGROUPS; FINITE RANK;

D O I：

10.1016/j.jalgebra.2014.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group is metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a (generalized) soluble group of infinite rank is metahamiltonian if and only if all its subgroups of infinite rank are either abelian or normal. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：135 / 148

页数：14