Geodesic
On the Approximability by Finite $p$-Groups of Free Products of Groups with Normal Amalgamation
Matematičeskie zametki, Tome 78 (2005) no. 1, pp. 125-131

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A sufficient condition for the residual $p$-finiteness (approximability by the class $\mathscr F_p$ of finite $p$-groups) of a free product $G=(A*B;H)$ of groups $A$ and $B$ with a normal amalgamated subgroup $H$ is obtained. This condition is used to prove that if $A$ and $B$ are extensions of residually $\mathscr N$-groups by $\mathscr F_p$-groups, where $\mathscr N$ stands for the class of finitely generated torsion-free nilpotent groups, and if $H$ is a normal $p'$-isolated polycyclic subgroup, then the group $G$ is residually $p$-finite (i.e., residually $\mathscr F_p$-group), provided the quotient group $G/H^pH'$ is residually $p$-finite. 
@article{MZM_2005_78_1_a11,
     author = {E. V. Sokolov},
     title = {On the {Approximability} by {Finite} $p${-Groups} of {Free} {Products} of {Groups} with {Normal} {Amalgamation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {125--131},
     publisher = {mathdoc},
     volume = {78},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_1_a11/}
}
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E. V. Sokolov. On the Approximability by Finite $p$-Groups of Free Products of Groups with Normal Amalgamation. Matematičeskie zametki, Tome 78 (2005) no. 1, pp. 125-131. http://geodesic.mathdoc.fr/item/MZM_2005_78_1_a11/