On the lower central series of a large family of non-periodic GGS-groups

Gustavo A. Fernández-Alcober, Mikel E. Garciarena, Marialaura Noce

For an odd prime $p$, we determine the lower central series of a large family of non-periodic GGS-groups, which has a density of roughly $(\frac{p-1}{p}{)}^2$ within all GGS-groups.…