Weak potency of fundamental groups of graphs of groups

Wong, P.C. and Tang, C.K. and Gan, H.W. (2010) Weak potency of fundamental groups of graphs of groups. Bulletin of the Malaysian Mathematical Sciences Society, 33 (2). pp. 243-251.

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Abstract

In this note we shall prove a characterization for the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups with infinite cyclic edge subgroups to be weakly potent. We shall show also that all one-relator groups with non-trivial center are weakly potent.

Item Type: Article
Uncontrolled Keywords: Fundamental groups of graphs of groups; weakly potent; cyclic subgroup separable; HNN extensions; tree products; polycyclic-by-finite groups; free-by-finite groups
Subjects: L Education > L Education (General)
Depositing User: MR Faizal II H
Date Deposited: 28 Dec 2015 13:05
Last Modified: 28 Dec 2015 13:05
URI: http://eprints.um.edu.my/id/eprint/15352

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