Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups

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Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups

We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.

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ژورنال

عنوان ژورنال: Kyungpook mathematical journal

سال: 2008

ISSN: 1225-6951

DOI: 10.5666/kmj.2008.48.3.495