Fundamental groups of graphs of cyclic subgroup separable and weakly potent groups
Document Type
Article
Publication Date
3-1-2021
Abstract
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.
Keywords
HNN extensions, Fundamental groups of graphs of groups, Weakly potent, Residually finite
Divisions
MathematicalSciences
Publication Title
Algebra Colloquium
Volume
28
Issue
1
Publisher
World Scientific Publishing
Publisher Location
5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
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