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

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

  • Received : 2008.01.22
  • Published : 2008.09.30

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

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