Аннотация
According to Bryant's theorem a periodic locally nilpotent group satisfying minimal condition on centralizers is virtually nilpotent. The c-dimension of a group is the supremum of lengths of chains of centralizers. We bound the index of the nilpotent radical of a locally nilpotent p-group of finite c-dimension k in terms of k and p.
Язык оригинала | английский |
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Страницы (с-по) | 1100-1105 |
Число страниц | 6 |
Журнал | Siberian Electronic Mathematical Reports |
Том | 17 |
DOI | |
Состояние | Опубликовано - 2020 |
Предметные области OECD FOS+WOS
- 1.01 МАТЕМАТИКА