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.
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页码：45 / 64
页数：20
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