D. Kochloukova

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math.GR2026

Self-similarity of the generalized Baumslag-Solitar groups

Dessislava H. Kochloukova

We show that all residually finite generalized Baumslag-Solitar groups of rank $n \geq 1$ , defined on a finite and connected graph, are self-similar. Furthermore we prove that all…

math.GR2026

Hopfian combinatorial wreath products

Dessislava H. Kochloukova

Let $A$ be an abelian group. We consider sufficient conditions for the combinatorial wreath product $A ≀_{X} B$ to be Hopfian generalising results of Bradford and Fournier-Facio. F…

math.GR2025

Homological growth of nilpotent-by-abelian pro-p groups

Dessislava H. Kochloukova, Aline G. S. Pinto

We show that the torsion-free rank of $H_{i} (M, Z_{p})$ has finite upper bound for $i \leq m$ , where $M$ runs through the pro- $p$ subgroups of finite index in a pro- $p$ group…

math.GR2025

Non self-similar metabelian groups

Dessislava Hristova Kochloukova, Melissa de Sousa Luiz

We show some sufficient conditions for a finitely presented group $G = A ⋊ Q$ , with $A$ and $Q$ abelian and the Krull dimension of $A$ equals to $2$ to be not self-similar. T…