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Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups

โœ Scribed by P. C. Wong; C. K. Tang


Publisher
World Scientific Publishing Company
Year
2000
Tongue
English
Weight
183 KB
Volume
7
Category
Article
ISSN
1005-3867

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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 gr

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A group G is said to be conjugacy separable if for each pair of elements x y โˆˆ G such that x and y are not conjugate in G, there exists a finite homomorphic image แธ  of G such that the images of x y are not conjugate in แธ . In this note, we show that the tree products of finitely many conjugacy separa