Weak potency of fundamental groups of graphs of groups

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.

Bibliographic Details
Main Authors: Wong, P.C., Tang, C.K., Gan, H.W.
Format: Article
Published: Malaysian Mathematical Sciences Soc 2010
Subjects: