Groups with many pronormal and transitively normal subgroups

• Дата: 2018
• Автори: Kurdachenko, L. A., Semko (Jr.), N. N., Subbotin, I. Ya.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: soluble group; radical group; locally nilpotent group,transitively normal subgroup; non finitely generated subgroup; 20E15; 20F19
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/713
• Назва журналу: Algebra and Discrete Mathematics

A subgroup \(H\) of a group \(G\) is said to be transitively  normal in \(G\), if \(H\) is normal in every subgroup \(K\geqslant H\) such that \(H\) is subnormal in \(K\). We described some infinite groups, whose non–finitely generated subgroups are transitively normal.