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On Generalized Free Products of Residually Finitep-Groups

✍ Scribed by Goansu Kim; C.Y. Tang

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 156 KB
Volume: 201
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7256

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✦ Synopsis

We derive necessary and sufficient conditions for generalized free products of free groups or finitely generated torsion-free nilpotent groups, amalgamating a cycle, to be residually finite p-groups. Using this, we characterize the residually finite p-group property of tree products of finitely generated torsion-free nilpotent groups amalgamating cycles.

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