Fundamental groups of graphs of cyclic subgroup separable and weakly potent groups

We give a characterization of the cyclic subgroup separability and weak potency of the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups amalgamating edge subgroups of the form < h > xD, where h has infinite order and D is finite.

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Bibliographic Details
Main Authors: Asri, M. S. M., Wong, Kok Bin, Wong, P. C.
Format: Article
Published: World Scientific Publishing 2021
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Online Access:http://eprints.um.edu.my/27041/
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Summary:We give a characterization of the cyclic subgroup separability and weak potency of the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups amalgamating edge subgroups of the form < h > xD, where h has infinite order and D is finite.