Lower Central Series of Baumslag–Solitar Groups

Standard

Lower Central Series of Baumslag–Solitar Groups. / Bardakov, V. G.; Neshchadim, M. V.

In: Algebra and Logic, Vol. 59, No. 4, 09.2020, p. 281-294.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG & Neshchadim, MV 2020, 'Lower Central Series of Baumslag–Solitar Groups', Algebra and Logic, vol. 59, no. 4, pp. 281-294. https://doi.org/10.1007/s10469-020-09601-z

APA

Bardakov, V. G., & Neshchadim, M. V. (2020). Lower Central Series of Baumslag–Solitar Groups. Algebra and Logic, 59(4), 281-294. https://doi.org/10.1007/s10469-020-09601-z

Vancouver

Bardakov VG , Neshchadim MV. Lower Central Series of Baumslag–Solitar Groups. Algebra and Logic. 2020 Sept;59(4):281-294. doi: 10.1007/s10469-020-09601-z

Author

Bardakov, V. G. ; Neshchadim, M. V. / Lower Central Series of Baumslag–Solitar Groups. In: Algebra and Logic. 2020 ; Vol. 59, No. 4. pp. 281-294.

BibTeX

@article{6244d45387d444aa9dd67596c9da7469,

title = "Lower Central Series of Baumslag–Solitar Groups",

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.",

keywords = "Baumslag–Solitar groups, lower central series, residual nilpotency",

author = "Bardakov, {V. G.} and Neshchadim, {M. V.}",

year = "2020",

month = sep,

doi = "10.1007/s10469-020-09601-z",

language = "English",

volume = "59",

pages = "281--294",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer US",

number = "4",

}

RIS

TY - JOUR

T1 - Lower Central Series of Baumslag–Solitar Groups

AU - Bardakov, V. G.

AU - Neshchadim, M. V.

PY - 2020/9

Y1 - 2020/9

N2 - 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.

AB - 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.

KW - Baumslag–Solitar groups

KW - lower central series

KW - residual nilpotency

UR - http://www.scopus.com/inward/record.url?scp=85096589720&partnerID=8YFLogxK

U2 - 10.1007/s10469-020-09601-z

DO - 10.1007/s10469-020-09601-z

M3 - Article

AN - SCOPUS:85096589720

VL - 59

SP - 281

EP - 294

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 4

ER -

ID: 26133489