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.
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页码：135 / 148
页数：14
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