若干可解半自由群的自相似性
群论
2024-06-18 v1
摘要
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.
引用
@article{arxiv.2406.10665,
title = {Self-similarity of some soluble relatively free groups},
author = {Adilson A. Berlatto and Alex C. Dantas and Tulio M. G. Santos},
journal= {arXiv preprint arXiv:2406.10665},
year = {2024}
}