Criterions of supersolubility of some finite factorizable groups

• Дата: 2018
• Автор: Legchekova, Helena V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: finite group; supersoluble group; permutable subgroups; product of subgroups; 20D20
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/927
• Назва журналу: Algebra and Discrete Mathematics

Let \(A\), \(B\) be subgroups of a group \(G\) and \(\emptyset \ne X \subseteq G\). A subgroup \(A\) is said to be \(X\)-permutable with \(B\) if for some \(x\in X\) we have \(AB^x=B^xA\) [1]. We obtain some new criterions for supersolubility of a  finite group \(G=AB\), where \(A\) and \(B\) are su...