On arrangement of subgroups in groups and related topics: some recent developments

• Дата: 2018
• Автор: Subbotin, I. Ya.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: arrangement of subgroups; fan subgroups; pronormal subgroups; abnormal subgroups; 20E15; 20E34; 20F19; 20F22
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/804
• Назва журналу: Algebra and Discrete Mathematics

Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works by P. Hall, R. Carter, J. Rose, and Z. Borevich. Numerous interesting results...