Marialaura Noce

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math.GR2026

Spinal Hanoi Towers Groups

Francesca Cavalieri, Mikel E. Garciarena, Marialaura Noce

We introduce and study \emph{spinal Hanoi towers groups}, a family of groups acting on the $d$ -adic tree that contains both the classical Hanoi towers group $H^{(3)}$ and…

math.GR2024

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.…

math.GR2024

On verbal subgroups of the group of automorphisms of regular rooted trees

Costantino Delizia, Mikel E. Garciarena, Marialaura Noce

In this paper we revisit the description of all verbal subgroups of the group of automorphisms of a regular rooted tree $T_{d}$ , for $d > 2$ and odd.