Minimal generating sets and Cayley graphs of Sylow \(p\)-subgroups of finite symmetric groups
Minimal generating sets of a Sylow \(p\)-subgroup \(P_n\) of the symmetric group \(S_{p^n}\) are characterized. The number of ordered minimal generating sets of \(P_n\) is calculated. The notion of the type of a generating set of \(P_n\) is introduced and it is proved that \(P_n\) contains minimal g...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/803 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |