Cyclic conjugacy separability and conjugacy separability of certain HNN extensions

In this note, we give a criterion for certain HNN extensions of cyclic conjugacy separable (respectively conjugacy separable) groups with infinite cyclic associated subgroups to be again cyclic conjugacy separable (respectively conjugacy separable). Communicated by Alexander Olshanskii

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Published in:Communications in algebra 2020-08, Vol.48 (8), p.3573-3589
Main Authors: Lim, H. M., Wong, K. B., Wong, P. C.
Format: Article
Language:English
Subjects:
Conjugacy separability
cyclic conjugacy separability
HNN extensions
Subgroups
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description In this note, we give a criterion for certain HNN extensions of cyclic conjugacy separable (respectively conjugacy separable) groups with infinite cyclic associated subgroups to be again cyclic conjugacy separable (respectively conjugacy separable). Communicated by Alexander Olshanskii
doi_str_mv 10.1080/00927872.2020.1741600
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subjects Conjugacy separability
cyclic conjugacy separability
HNN extensions
Subgroups
title Cyclic conjugacy separability and conjugacy separability of certain HNN extensions
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