Geodesic
On the Residual Finiteness of Some Generalized Products of Soluble Groups of Finite Rank
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 124-132.

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Let $G$ be a free product of residually finite virtually soluble groups $A$ and $B$ of finite rank with an amalgamated subgroup $H$, $H \not= A$ and $H \not= B$. And let $H$ contains a subgroup $W$ of finite index which is normal in both $A$ and $B$. We prove that the group $G$ is residually finite if and only if the subgroup $H$ is finitely separable in $A$ and $B$. Also we prove that if all subgroups of $A$ and $B$ are finitely separable in $A$ and $B$, respectively, all finitely generated subgroups of $G$ are finitely separable in $G$.
Keywords: soluble group of finite rank, generalized free product, residually finite group, finitely separable subgroup. 
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A. V. Rozov. On the Residual Finiteness of Some Generalized Products of Soluble Groups of Finite Rank. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 124-132. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a7/

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