A note on \(c\)-normal subgroups of finite groups
Let \(G\) be a finite group. We fix in every non-cyclic Sylow subgroup \(P\) of \(G\) some its subgroup \(D\) satisfying \(1<|D|<|P|\) and study the structure of \(G\) under assumption that all subgroups \(H\) of \(P\) with \(|H|=|D|\) are \(c\)-normal in \(G\).
Збережено в:
| Дата: | 2018 |
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| Автор: | |
| 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/930 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | Let \(G\) be a finite group. We fix in every non-cyclic Sylow subgroup \(P\) of \(G\) some its subgroup \(D\) satisfying \(1<|D|<|P|\) and study the structure of \(G\) under assumption that all subgroups \(H\) of \(P\) with \(|H|=|D|\) are \(c\)-normal in \(G\). |
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