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On the lower central series of Baumslag-Solitar groups

We find the lower central series for residually nilpotent Baumslag-Solitar groups, and find the intersection of all terms of the lower central series. Also, we find non-abelian Bauslag-Solitar groups for which the lower central series has length 2. For some Baumslag-Solitar groups a connection is found between the intersection of all subgroups of finite index and the intersection of all terms of the lower central series.

preprint2020arXivOpen access
V. G. BardakovM. V. Neshchadim
math.GR
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V. G. BardakovM. V. Neshchadim

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