On sub-class sizes of mutually permutable products
In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-supersolvable are given.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | article |
| Language: | EN |
| Published: |
De Gruyter
2021
|
| Subjects: | |
| Online Access: | https://doaj.org/article/c4a787c9e23149e4927df9e5393fe5b9 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-supersolvable are given. |
|---|