On finite groups with \(K\)-\(\frak{N}_{\sigma}\)-subnormal Schmidt subgroups

• Дата: 2024
• Автор: Hussain, Muhammad Tanveer
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: finite group; \(\sigma\)-nilpotent group; \(K\)-lattice saturated formation; Schmidt subgroup; 20D10; 20D15; 20D20.
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2233
• Назва журналу: Algebra and Discrete Mathematics

Let \(G\) be a finite group and \(\sigma=\{\sigma_i | i\in I\}\) be some partition of the set of all primes. A subgroup \(A\) of \(G\) is said to \(K\)-\(\frak{N}_{\sigma}\)-subnormal in \(G\) if there is a subgroup chain \(A=A_o\leq A_1 \leq \cdots \leq A_n=G\) such that either \(A_{i-1} \unlhd A_i...