D. Kochloukova

collaborators

6 papers

math.RA2026

Lie algebras and coherence

Dessislava H. Kochloukova

We determine some sufficient conditions for the split extension of two free finitely generated non-abelian Lie algebras $L = F_{1} ⋋ F_{2}$ over an infinite field $K$ to…

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.RA2025

HNN extensions of Lie superalgebras

Dessislava H. Kochloukova, Victor Petrogradsky

We explicitly describe the structure of HNN extensions of Lie superalgebras. We specify their bases. Moreover, we prove that the HNN extension is a direct sum of two subalgebras: o…

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…