J Austral Math Soc Ser A 53 pp408--420, 1992.

The Residual Finiteness of HNN-Extensions and Generalized Free Products of Nilpotent Groups: A Characterization

E. Raptis and D. Varsos

(Received 30 March 1990; revised 6 June 1991)

Abstract

We study the residual finiteness of free products with amalgamations and HNN-extensions of finitely generated nilpotent groups. We give a characterization in terms of certain conditions satisfied by the associated subgroups. In particular the residual finiteness of these groups implies the possibility of extending the isomorphism of the associated subgroups to an isomorphism of their isolated closures in suitable overgroups of the factors (or the base group in case of HNN-extensions).

1991 AMS Subject Classification: 20E06, 20E26

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Authors

E. Raptis
D. Varsos
University of Athens, Panepistemiopolis, 15784 Athens, Greece.

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