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- Title
Lower Central Series of Baumslag–Solitar Groups.
- Authors
Bardakov, V. G.; Neshchadim, M. V.
- 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.
- Subjects
NONABELIAN groups; NILPOTENT groups; FINITE, The
- Publication
Algebra & Logic, 2020, Vol 59, Issue 4, p281
- ISSN
0002-5232
- Publication type
Article
- DOI
10.1007/s10469-020-09601-z