Non self-similar metabelian groups
Group Theory
2025-09-09 v1
Abstract
We show some sufficient conditions for a finitely presented group , with and abelian and the Krull dimension of equals to to be not self-similar. This is in contrast to the case of the Krull dimension of equals to considered by Kochloukova and Sidki in 2020.
Keywords
Cite
@article{arxiv.2509.05798,
title = {Non self-similar metabelian groups},
author = {Dessislava Hristova Kochloukova and Melissa de Sousa Luiz},
journal= {arXiv preprint arXiv:2509.05798},
year = {2025}
}
Comments
25 pages