On finite groups with Hall normally embedded Schmidt subgroups

• Дата: 2018
• Автори: Kniahina, Viktoryia Nikolaevna, Monakhov, Victor Stepanovich
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: finite group; Hall subgroup; normal subgroup; derived subgroup; nilpotent subgroup; 20E28; 20E32; 20E34
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1126
• Назва журналу: Algebra and Discrete Mathematics

A subgroup \(H\) of a finite group \(G\) is said to be Hall normally embedded in \(G\) if there is a normal subgroup \(N\) of \(G\) such that \(H\) is a Hall subgroup of \(N\). A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if e...