Geodesic
On the residual finiteness of generalized free products with cyclic amalgamation
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 9-19.

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Let $G$ be the free product of residually finite groups $A$ and $B$ with amalgamated cyclic subgroups $H$ and $K$. It is proved that if there exist homomorphisms of the groups $A$ and $B$ onto virtually polycyclic groups which are injective on the subgroups $H$ and $K$ then $G$ is a residually finite group.
Keywords: generalized free product of groups, residually finite group. 
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D. N. Azarov. On the residual finiteness of generalized free products with cyclic amalgamation. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 9-19. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a1/

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