Реферат: Let X be a nonempty class of finite groups closed under taking subgroups, homomorphic images, and extensions. We define the concept of a Wielandt X-subgroup in an arbitrary f inite group. It generalizes the concept of a submaximal X-subgroup introduced by H. Wielandt and is key in the framework of a program proposed by Wielandt in 1979. One of the central objectives of the program is to overcome difficulties associated with the reduction to factors of a subnormal series within the natural problem of searching for maximal X-subgroups. Wielandt X-subgroups possess a number of properties unshareable by submaximal X-subgroups. There is a hope that, due to these additional properties, the use of Wielandt X-subgroups will open up new possibilities in realizing Wielandt’s program

Библиографическая ссылка: Revin D.O.
Wielandt X-subgroups
Algebra and Logic. 2024. V.63. N3. P.201-216. DOI: 10.1007/s10469-025-09784-3 WOS Scopus OpenAlex

Оригинальная: Ревин Д.О.
Виландовы X-подгруппы
Алгебра и логика. 2024. Т.63. №3. С.301-322. DOI: 10.33048/alglog.2024.63.306 MathNet

Даты:

Поступила в редакцию:	20 мая 2024 г.
Принята к публикации:	11 апр. 2025 г.
Опубликована в печати:	3 мая 2025 г.
Опубликована online:	3 мая 2025 г.

Идентификаторы БД:

Web of science:	WOS:001480459600001
Scopus:	2-s2.0-105004216948
OpenAlex:	W4410052493

Цитирование в БД: Пока нет цитирований

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