FC-groups with Few Subnormal Non-normal Subgroups

被引：0
|
作者：
Mattia Brescia
机构：
[1] Università degli Studi di Napoli Federico II,
来源：
Mediterranean Journal of Mathematics | 2022年 / 19卷
关键词：
FC-groups; T-groups; double chain condition; finite simple groups; 20E15; 20F22; 20F24;
D O I：
暂无
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学科分类号：
摘要：
A group G is said to be an FC-group if every conjugacy class of G has finite order and is said to be a T-group if every subnormal subgroup is normal in G. In this paper we give a characterization of groups that are both FC-groups and T-groups and go further in the study of FC-groups with few subnormal non-normal subgroups in the sense of the chain conditions. The structure of FC-groups satisfying the maximal, the minimal and the double chain condition on subnormal non-normal subgroups will be described.
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