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Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups

Published online by Cambridge University Press:  20 November 2018

C. Y. Tang*
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1
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Abstract

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We prove that generalized free products of finitely generated free-byfinite or nilpotent-by-finite groups amalgamating a cyclic subgroup areconjugacy separable. Applying this result we prove a generalization of a conjecture of Fine and Rosenberger [7] that groups of F-type are conjugacy separable.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

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