Groups with the weak minimal condition on non-normal non-abelian subgroups

被引：5

作者：

De Mari, Fausto ^{[1
]}

机构：

[1] Univ Napoli Federico II, Naples, Italy

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2020年 / 61卷 / 01期

关键词：

Metahamiltonian group; Minimax group; Weak minimal condition;

D O I：

10.1007/s13366-019-00450-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group is called metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a (generalized) soluble group satisfying the weak minimal condition on non-normal non-abelian subgroups is either minimax or metahamiltonian.

引用

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页码：1 / 7

页数：7

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