Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent

被引：0
|
作者：
Dastborhan, Nasrin [1 ]
Mousavi, Hamid [1 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Dept Pure Math, Tabriz, Iran
来源：
RICERCHE DI MATEMATICA | 2024年
关键词：
Meta-Ni-Hamilponian; Para-Nil-Hmiltonian;
D O I：
10.1007/s11587-024-00870-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Nil be the class of nilpotent groups and G be a group. We call G a meta-Nil-Hamiltonian group if any of its non-Nil subgroups is normal. Also, we call G a para-Nil-Hamiltonian group if G is a non-Nil group and every non-normal subgroup of G is either a Nil-group or a minimal non-Nil group. In this paper we investigate the class of finitely generated meta-Nil-Hamiltonian and para-Nil-Hamiltonian groups.
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收藏
页码：869 / 882
页数：14
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