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Bull. Korean Math. Soc. 2010; 47(6): 1195-1204
Printed November 1, 2010
https://doi.org/10.4134/BKMS.2010.47.6.1195
Copyright © The Korean Mathematical Society.
Conjugacy separability of generalized free products of finitely generated nilpotent groups
Wei Zhou, Goansu Kim, Wujie Shi, and C. Y. Tang
Southwest University, Yeungnam University, Chongqing University of Arts and Sciences, University of Waterloo
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non-cyclic amalgamated subgroup. Applying this criterion, we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
Keywords: generalized free products, residually finite, conjugacy separable, nilpotent groups
MSC numbers: Primary 20E26, 20E06, 20F10
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