Groups with many pronormal and transitively normal subgroups

• Date: 2018
• Main Author: Semko (Jr.), N. N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: pronormal subgroup; locally nilpotent group; transitively normal subgroup; radical group; non finitely generated subgroups; 20E15; 2019
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/747
• Journal Title: 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  \(K\geq H\)   such  that   \(H\)    is  subnormal in  \(K.\) The study of   radical  groups, whose   not  finitely  generated  subgroups  are transitively normal, has been start...