On infinite groups whose noncyclic norm has a finite index

• Дата: 1997
• Автори: Liman, F. N., Лиман, Ф. Н.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1997
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5048
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study groups in which the intersection of normalizers of all noncyclic subgroups (noncyclic norm) has a finite index. We prove that if the noncyclic norm of an infinite noncyclic group is locally graded and has a finite index in the group, then this group is central-by-finite and its noncyclic no...