On a product of two formational \(\mathrm{tcc}\)-subgroups

• Дата: 2021
• Автор: Trofimuk, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2021
• Теми: supersoluble group; totally permutable product; saturated formation; tcc-permutable product; tcc-subgroup; 20D10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1396
• Назва журналу: Algebra and Discrete Mathematics

A subgroup \(A\) of a group \(G\) is called \(\mathrm{tcc}\)-subgroup in \(G\), if there is a subgroup \(T\) of \(G\) such that \(G=AT\) and  for any \(X\le A\) and \(Y\le T\) there exists an element \(u\in \langle X,Y\rangle \) such that \(XY^u\leq G\). The notation \(H\le G \) means that \(H\) is...