On the lower central series of Baumslag-Solitar groups
Group Theory
2020-09-03 v1
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.
Keywords
Cite
@article{arxiv.2009.01150,
title = {On the lower central series of Baumslag-Solitar groups},
author = {V. G. Bardakov and M. V. Neshchadim},
journal= {arXiv preprint arXiv:2009.01150},
year = {2020}
}
Comments
14 pages