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...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/803 |
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| Назва журналу: | Algebra and Discrete Mathematics |