On the lower central series of Baumslag-Solitar groups

V. G. Bardakov; M. V. Neshchadim

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arXiv · 2009.01150

On the lower central series of Baumslag-Solitar groups

V. G. Bardakov·M. V. Neshchadim

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Abstract

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.

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V. G. Bardakov, M. V. Neshchadim. 2020-09-02. On the lower central series of Baumslag-Solitar groups. https://arxiv.org/abs/2009.01150

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