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Conjugacy Separability of Amalgamated Free Products of Groups

✍ Scribed by Luis Ribes; Pavel A. Zalesskii

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 310 KB
Volume: 179
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0035

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✦ Synopsis

G and G amalgamating a common subgroup H. The first problem that 1 2 one encounters is that the residual finiteness of G and G does not imply 1 2 w x in general that G is residually finite. Baumslag 1 proved that if G and 1 G are either both free or both torsion-free finitely generated nilpotent 2 groups, and H is cyclic, then G s G ) G is residually finite. It is 1 H 2 probably known that, if G and G are free-by-finite or finitely generated 1 2 Ž . nilpotent-by-finite groups not necessarily both of the same type and H is Ž cyclic, then G s G ) G is residually finite we do not know an explicit 1 H 2

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