D. Kochloukova

activity

20082026

most citedCohomological Finiteness Conditions in Bredon Cohomology

14 citations · 49 across the 31 of their papers we have counts for

collaborators

44 papers

math.GR2026

On the residual finiteness of the non-abelian exterior square of wreath products and the Grigorchuk group

Ayrton Anjos Teixeira, Dessislava H. Kochloukova

We show some sufficient conditions ( in terms of properties of $A$ , $B$ and $X$ ) for the non-abelian exterior square $G \land G$ to be residually finite, where $G$ is the wreath…

math.GR2026

On the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and $S L_{n} (Z)$

Lucas Barroso Rocha, Dessislava H. Kochloukova

We show that cohomological and homological goodness are equivalent. We prove that if $G$ is a coherent even Artin group or an even Artin group whose underlying graph does not conta…

math.GR2026

On the residual finiteness of the non-abelian tensor square $G \otimes G$ , the non-abelian exterior square $G \land G$ and the weak commutativity construction $\X(G)$

Ayrton Anjos Teixeira, Lucas Barroso Rocha, Dessislava H. Kochloukova

We prove that if $G$ is a residually finite group, $G$ is its profinite completion and the map $H_{2} (G, Z)$ $\to H_{2} (G, Z),$ induce…

math.GR2026

The free multiplicative Lie algebra $L (P)$ for a finitely generated parafree group $P$

Dessislava H. Kochloukova

Let $P$ be a group, $L (P)$ be the free multiplicative Lie algebra with normal subgroup $Γ_{n} (P)$ generated by Lie bracket ``commutators'' of weight $n$ and ${γ_{n} (P)}$ be the low…

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…

On the residual finiteness of the non-abelian exterior square of wreath products and the Grigorchuk group

On the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and SLn​(Z)

On the residual finiteness of the non-abelian tensor square G⊗G, the non-abelian exterior square G∧G and the weak commutativity construction $\X(G)$

The free multiplicative Lie algebra L(P) for a finitely generated parafree group P

Lie algebras and coherence

Self-similarity of the generalized Baumslag-Solitar groups

On the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and $S L_{n} (Z)$

On the residual finiteness of the non-abelian tensor square $G \otimes G$ , the non-abelian exterior square $G \land G$ and the weak commutativity construction $\X(G)$

The free multiplicative Lie algebra $L (P)$ for a finitely generated parafree group $P$