Abstract
A group G is said to be conjugacy-separable if, for each pair of elements x, y ɛ G such that x and y are not conjugate in G, there exists a finite homomorphic image G¯ of G such that the images of x and y are not conjugate in G¯. In this paper, we show that certain HNN extensions of conjugacy-separable groups are conjugacy-separable. We then apply our results to HNN extensions of polycyclic-by-finite groups.
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Communicated by C.K. Gupta
2000 Mathematics Subject Classification: primary 20E26, 20E06; secondary 20F05
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Wong, P.C., Tang, C.K. Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups. Algebra Colloq. 7, 147–158 (2000). https://doi.org/10.1007/s10011-000-0147-5
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DOI: https://doi.org/10.1007/s10011-000-0147-5