Self-similarity of some soluble relatively free groups

2024/06/15 by Berlatto, Adilson A., Dantas, Alex C., Santos, Tulio M. G. · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2406.10665

Abstract

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 ≥ 2 is not transitive self-similar.

Cited by

• On self-similarity of finitely generated torsion-free nilpotent groups

Related

• On self-similarity of finitely generated torsion-free nilpotent groups
• Self-similar groups of type FP_n
• On self-similarity of wreath products of abelian groups
• Groups in which every non-nilpotent subgroup is self-normalizing
• Intransitive Self-similar Groups