On Groups whose Subnormal Abelian Subgroups are Normal

被引：0

作者：

Kurdachenko, L. A. ^{[1
]}

Otal, J. ^{[2
]}

Subbotin, I. Ya ^{[3
]}

机构：

[1] Dnipro Natl Univ, Dept Algebra, Gagarin Prospect 70, UA-10 Dnipro, Ukraine

[2] Univ Zaragoza, Dept Matemat, Pedro Cerbuna 12, Zaragoza 50009, Spain

[3] Natl Univ, Dept Math, 5245 Pacific Concourse Dr, Los Angeles, CA 90045 USA

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2022年 / 14卷

关键词：

subnormal abelian subgroup; hyperabelian group; hyperabelian Lie algebra; abelian subideal; PERMUTABILITY; CRITERIA;

D O I：

10.32037/agta-2022-012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical. The description of hyperabelian Lie algebras, whose abelian subideals are ideals, is also obtained.

引用

页码：67 / 94

页数：28

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