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

- Journal title : Kyungpook mathematical journal
- Volume 48, Issue 3, 2008, pp.495-502
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2008.48.3.495

Title & Authors

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

Kim, Goan-Su; Lee, Young-Mi; McCarron, James;

Kim, Goan-Su; Lee, Young-Mi; McCarron, James;

Abstract

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.

Keywords

generalized free products;residually finite p-groups;p-closed subgroups;p-filters;

Language

English

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