14 citations · 49 across the 31 of their papers we have counts for
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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 , and ) for the non-abelian exterior square to be residually finite, where is the wreath…
On the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and
Lucas Barroso Rocha, Dessislava H. Kochloukova
We show that cohomological and homological goodness are equivalent. We prove that if is a coherent even Artin group or an even Artin group whose underlying graph does not conta…
On the residual finiteness of the non-abelian tensor square , the non-abelian exterior square and the weak commutativity construction $\X(G)$
Ayrton Anjos Teixeira, Lucas Barroso Rocha, Dessislava H. Kochloukova
We prove that if is a residually finite group, is its profinite completion and the map induce…
The free multiplicative Lie algebra for a finitely generated parafree group
Dessislava H. Kochloukova
Let be a group, be the free multiplicative Lie algebra with normal subgroup generated by Lie bracket ``commutators'' of weight and be the low…
Self-similarity of the generalized Baumslag-Solitar groups
Dessislava H. Kochloukova
We show that all residually finite generalized Baumslag-Solitar groups of rank , defined on a finite and connected graph, are self-similar. Furthermore we prove that all…
Hopfian combinatorial wreath products
Dessislava H. Kochloukova
Let be an abelian group. We consider sufficient conditions for the combinatorial wreath product to be Hopfian generalising results of Bradford and Fournier-Facio. F…