Lucas Barroso Rocha

collaborators

2 papers

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…

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 $\X(G)$

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 $\X(G)$