Periodic locally nilpotent groups of finite c-dimension Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2020, Volume: 17, Pages: 1100-1105 Pages count : 6 DOI: 10.33048/semi.2020.17.083 | ||||
| Tags | c-dimension, periodic locally nilpotent group, locally nilpotent p-group | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 19-11-00039 |
Abstract:
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.
Cite:
Buturlakin A.A.
, Devyatkova I.E.
Periodic locally nilpotent groups of finite c-dimension
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.1100-1105. DOI: 10.33048/semi.2020.17.083 WOS Scopus OpenAlex
Periodic locally nilpotent groups of finite c-dimension
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.1100-1105. DOI: 10.33048/semi.2020.17.083 WOS Scopus OpenAlex
Dates:
| Submitted: | Nov 29, 2019 |
| Published online: | Aug 18, 2020 |
Identifiers:
| Web of science: | WOS:000561108600001 |
| Scopus: | 2-s2.0-85099213627 |
| OpenAlex: | W3117352331 |
Citing:
Пока нет цитирований