Finite groups with a system of generalized central elements
Let \(H\) be a normal subgroup of a finite group \(G\). A number of authors have investigated the structure of \(G\) under the assumption that all minimal or maximal subgroups in Sylow subgroups of \(H\) are well-situated in \(G\). A general approach to the results of that kind is proposed in this a...
Збережено в:
| Дата: | 2018 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | Let \(H\) be a normal subgroup of a finite group \(G\). A number of authors have investigated the structure of \(G\) under the assumption that all minimal or maximal subgroups in Sylow subgroups of \(H\) are well-situated in \(G\). A general approach to the results of that kind is proposed in this article. The author has found the conditions for \(p\)-elements of \(H\) under which \(G\)-chief \(p\)-factors of \(H\) are \(\mathfrak{F}\)-central in \(G\). |
|---|