Periodic locally nilpotent groups of finite c-dimension

Alexander Buturlakin; I. E. Devyatkova

doi:10.33048/semi.2020.17.083

Periodic locally nilpotent groups of finite c-dimension

Alexander Buturlakin, I. E. Devyatkova

Механико-математический факультет

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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
Страницы (с-по)	1100-1105
Число страниц	6
Журнал	Siberian Electronic Mathematical Reports
Том	17
DOI	https://doi.org/10.33048/semi.2020.17.083
Состояние	Опубликовано - 2020

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.33048/semi.2020.17.083

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