Structure of locally graded CDN[)-Groups

被引：0

作者：

Semko M.M. ^{[1
]}

机构：

[1] Ukrainian Economic Financial Institute, Irpen

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 3期

关键词：

Normal Subgroup; Cyclic Group; Nilpotent Group; Generate Element; Minimum Normal Subgroup;

D O I：

10.1007/BF02592479

中图分类号：

学科分类号：

摘要：

We introduce the notion of CDN[ )-groups: G is a CDN[ )-group if, for any pair of its subgroups A and B such that A is a proper nonmaximum subgroup of B, there exists a normal subgroup N which belongs to G and satisfies the inequalities A ≤ N < B. Fifteen types of nilpotent non-Dedekind groups and nine types of nonnilpotent locally graded groups of this kind are obtained. © 1999 Kluwer Academic/Plenum Publishers.

引用

页码：427 / 433

页数：6

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