On Finite 2-Groups with the Non-Dedekind Metacyclic Norm of Abelian Non-Cyclic Subgroups

被引：3

作者：

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

Lyman, F. M. ^{[2
]}

机构：

[1] Taras Shevchenko Natl Univ Kyiv, Dept Algebra & Math Log, Volodymyrska 60, UA-01033 Kiev, Ukraine

[2] Makarenko Sumy State Pedag Univ, Dept Math, Romenska Str 87, UA-40002 Sumy, Ukraine

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2021年 / 11卷

关键词：

norm of a group; norm of Abelian non-cyclic subroups; metacyclic group; METANORM;

D O I：

10.32037/agta-2021-003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors examine the relations between the properties of a group G and its norm N-G(A) of Abelian non-cyclic subgroups. In this paper the properties of finite 2-groups with the cyclic center and the metacyclic non-Dedekind norm of Abelian non-cyclic subgroups, are studied. The complete description of such groups is obtained.

引用

页码：45 / 64

页数：20

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