Mathematical Notes

, Volume 76, Issue 3, pp 465-471

First online:

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

  • E. A. IvanovaAffiliated withIvanovo State University

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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.

residually finite group residually p-finite group free product with amalgamation conjugacy separable group conjugacy p-separable group