On Conjugacy $p$-Separability of Free Products of Two Groups with Amalgamation

It is proved that a free product of two finite $p$-groups with amalgamated central subgroups is a conjugacy $p$-separable group. With the help of this result, it is proved that a free product with amalgamated subgroups of two finitely generated Abelian groups is a residually finite $p$-group if and only if it is conjugacy $p$-separable.