Lower Central Series of Baumslag–Solitar Groups | Sciact - Система учета научной деятельности ИМ СО РАН

Lower Central Series of Baumslag–Solitar Groups Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2020, Том: 59, Номер: 4, Страницы: 281-294 Страниц : 14 DOI: 10.1007/s10469-020-09601-z

Ключевые слова

Baumslag–Solitar groups; lower central series; residual nilpotency

Авторы

Bardakov V.G. ^1,2,3,4 , Neshchadim M.V. ^1,2,3

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University
3	Tomsk State University
4	Novosibirsk State Agricultural University

We look at Baumslag–Solitar groups. Lower central series are given for residually nilpotent Baumslag–Solitar groups. For some Baumslag–Solitar groups that are not residually nilpotent, we find the intersection of all terms of the lower central series. Also we point out non-Abelian Baumslag–Solitar groups having lower central series of length 2. For some Baumslag–Solitar groups, a connection is found between an intersection of subgroups of finite index and an intersection of terms of the lower central series. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Bardakov V.G. , Neshchadim M.V.
Lower Central Series of Baumslag–Solitar Groups
Algebra and Logic. 2020. V.59. N4. P.281-294. DOI: 10.1007/s10469-020-09601-z WOS Scopus OpenAlex

Web of science:	WOS:000593057900002
Scopus:	2-s2.0-85096589720
OpenAlex:	W3110235838

БД	Цитирований
Scopus	2
OpenAlex	2
Web of science	2