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
收藏
页码：1 / 7
页数：7
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