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 is not transitiv…
math.GR2024
On wreath product occurring as subgroup of automata group
Alex C. Dantas, Junio R. Oliveira, Tulio M. G. Santos
A finitely generated group is said to be an automata group if it admits a faithful self-similar finite-state representation on some regular -tree. We prove that if is a subg…