CONJUGACY SEPARABILITY OF CERTAIN GENERALIZED FREE PRODUCTS OF NILPOTENT GROUPS

Title & Authors
CONJUGACY SEPARABILITY OF CERTAIN GENERALIZED FREE PRODUCTS OF NILPOTENT GROUPS
Kim, Goansu; Tang, C.Y.;

Abstract
It is known that generalized free products of finitely generated nilpotent groups are conjugacy separable when the amalgamated subgroups are cyclic or central in both factor groups. However, those generalized free products may not be conjugacy separable when the amalgamated subgroup is a direct product of two infinite cycles. In this paper we show that generalized free products of finitely generated nilpotent groups are conjugacy separable when the amalgamated subgroup is $\small{{\langle}h{\rangle}{\times}D}$, where D is in the center of both factors.
Keywords
generalized free products;residually finite;conjugacy separable;nilpotent groups;
Language
English
Cited by
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