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

页码：535 / 540

页数：6

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