Tulio M. G. Santos

collaborators

2 papers

math.GR2024

Self-similarity of some soluble relatively free groups

Adilson A. Berlatto, Alex C. Dantas, Tulio M. G. Santos

In this paper we prove that a free nilpotent group of finite rank is transitive self-similar. In contrast, we prove that a free metabelian group of rank $r \geq 2$ is not transitiv…

math.GR2021

Self-similar abelian groups and their centralizers

Alex C. Dantas, Tulio M. G. Santos, Said N. Sidki

We extend results on transitive self-similar abelian subgroups of the group of automorphisms $A_{m}$ of an $m$ -ary tree $T_{m}$ in \cite{BS}, to the general case wh…