The structure of locally finite groups of finite c-dimension Научная публикация
| Журнал |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Вых. Данные | Год: 2019, Том: 18, Номер: 12, Номер статьи : 1950223, Страниц : 12 DOI: 10.1142/S0219498819502232 | ||
| Ключевые слова | Centralizer dimension; c-dimension; minimal condition on centralizers; locally finite groups; locally soluble radical | ||
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 14-21-00065 |
Реферат:
The c-dimension of a group is the supremum of lengths of strict nested chains of centralizers. We describe the structure of locally finite groups of finite c-dimension. We also prove that the c-dimension of the quotient G/R of a locally finite group G by the locally soluble radical R is bounded in terms of the c-dimension of G.
Библиографическая ссылка:
Buturlakin A.A.
The structure of locally finite groups of finite c-dimension
Journal of Algebra and its Applications. 2019. V.18. N12. 1950223 :1-12. DOI: 10.1142/S0219498819502232 WOS Scopus OpenAlex
The structure of locally finite groups of finite c-dimension
Journal of Algebra and its Applications. 2019. V.18. N12. 1950223 :1-12. DOI: 10.1142/S0219498819502232 WOS Scopus OpenAlex
Даты:
| Принята к публикации: | 27 нояб. 2018 г. |
| Опубликована в печати: | 22 февр. 2019 г. |
Идентификаторы БД:
| Web of science: | WOS:000495372300003 |
| Scopus: | 2-s2.0-85061917982 |
| OpenAlex: | W2902342538 |