A survey article on some subgroup embeddings and local properties for soluble PST-groups

• Дата: 2017
• Автор: Beidleman, James C.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2017
• Теми: S-permutable subgroup; semipermutable subgroup; seminormal subgroup; PST-group; 20D10; 20D20; 20D35
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/386
• Назва журналу: Algebra and Discrete Mathematics

Let \(G\) be a group and \(p\) a prime number. \(G\) is said to be a \(Y_p\textrm{-group}\) if whenever \(K\) is a \(p\)-subgroup of \(G\) then every subgroup of \(K\) is an S-permutable subgroup in \(N_G(K)\). The group \(G\) is a soluble PST-group if and only if \(G\) is a \(Y_p\textrm{-group}\) f...