On relations between generalized norms in locally finite groups

• Дата: 2025
• Автори: Lukashova, Tetiana, Drushlyak, Marina
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2025
• Теми: norm of a group; generalized norms; norm of Abelian non-cyclic subgroups of a group; norm of decomposable subgroups of a group; non- Dedekindness; locally finite group
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2347
• Назва журналу: Algebra and Discrete Mathematics

In the paper the relations between such generalized norms as the norm of Abelian non-cyclic subgroups and the norm of decomposable subgroups in the class of infinite locally finite groups are studied. The local nilpotency and non-Dedekindness of the norm of Abelian non-cyclic subgroups are considere...