On numbers which are orders of nilpotent groups with bounded class
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2024-01-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_28077_e4ab13352bc7d2c98448c6417cf510f7.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|