Locally Finite Products of Totally Permutable Nilpotent Groups

被引：1
|
作者：
De Falco, Maria [1 ]
de Giovanni, Francesco [1 ]
Musella, Carmela [1 ]
机构：
[1] Univ Naples Federico 2, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
来源：
ALGEBRA COLLOQUIUM | 2009年 / 16卷 / 03期
关键词：
factorized group; totally permutable subgroups; nilpotent residual;
D O I：
10.1142/S1005386709000509
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A group G = AB is said to be totally factorized by its subgroups A and B if XY = YX for all subgroups X of A and Y of B. It is known that any finite group totally factorized by supersoluble subgroups is supersoluble, and that a finite group totally factorized by nilpotent subgroups is abelian-by-nilpotent. This latter result is extended here to certain classes of infinite groups.
引用
收藏
页码：535 / 540
页数：6
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