Lower Central Series of Baumslag–Solitar Groups Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2020, Volume: 59, Number: 4, Pages: 281-294 Pages count : 14 DOI: 10.1007/s10469-020-09601-z | ||||||||
| Tags | Baumslag–Solitar groups; lower central series; residual nilpotency | ||||||||
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Abstract:
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.
Cite:
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
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
Identifiers:
| Web of science: | WOS:000593057900002 |
| Scopus: | 2-s2.0-85096589720 |
| OpenAlex: | W3110235838 |