A generalization of groups with many almost normal subgroups
A subgroup \(H\) of a group \(G\) is called almost normal in \(G\) if it has finitely many conjugates in \(G\). A classic result of B. H. Neumann informs us that \(|G:\mathbf{Z}(G)|\) is finite if and only if each \(H\) is almost normal in \(G\). Starting from this result, we investigate the structu...
Saved in:
Date: | 2018 |
---|---|
Main Author: | Russo, Francesco G. |
Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2018
|
Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/623 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
-
The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: Kurdachenko, Leonid A., et al.
Published: (2016) -
On \(\frak{F}\)-radicals of finite \(\pi\)-soluble groups
by: Guo, Wenbin, et al.
Published: (2018) -
Minimal non-\(PC\)-groups
by: Artemovych, Orest D.
Published: (2018) -
Some related to pronormality subgroup families and the properties of a group
by: Kirichenko, Vladimir V., et al.
Published: (2018) -
On the structure of some groups having finite contranormal subgroups
by: Kurdachenko, L. A., et al.
Published: (2021)