On the Norm of Decomposable Subgroups in Locally Finite Groups

被引：7

作者：

Liman, F. N. ^{[1
]}

Lukashova, T. D. ^{[1
]}

机构：

[1] Makarenko Sumy State Pedag Univ, Sumy, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2015年 / 67卷 / 04期

关键词：

Finite Group; Minimality Condition; Nilpotent Group; Abelian Subgroup; Frobenius Group;

D O I：

10.1007/s11253-015-1099-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the relationships between the norm of decomposable subgroups and the norm of Abelian noncyclic subgroups in the class of locally finite groups. We also describe some properties of periodic locally nilpotent groups in which the norm of decomposable subgroups is a non-Dedekind norm.

引用

页码：542 / 551

页数：10

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