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A Criterion for the Conjugacy Separability of Amalgamated Free Products of Conjugacy Separable Groups

โœ Scribed by Goansu Kim; C.Y. Tang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
293 KB
Volume
184
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We first prove a criterion for the conjugacy separability of generalized free products of two conjugacy separable groups amalgamating a cyclic subgroup. Applying this result, we show that tree products of a finite number of conjugacy separable, residually finitely generated torsion-free nilpotent groups amalgamating cyclic subgroups are conjugacy separable. From this we derive that tree products of finitely generated torsion-free nilpotent groups, free groups, or surface groups amalgamating cyclic subgroups are conjugacy separable.

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