Title of article :
Weak Potency of Fundamental Groups of Graphs of Groups
Author/Authors :
Wong, P. C. university of malaya - Institute of Mathematical Sciences, Malaysia , Tang, C. K. Universiti Tunku Abdul Rahman - Faculty of Information and Communication Technology - Department of Computer Science and Mathematics, Malaysia , Gan, H. W. university of malaya - Institute of Mathematical Sciences, Malaysia
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 innite cyclic edge subgroups to be weakly potent. We shall show also that all one-relator groups with non-trivial center are weakly potent.
Keywords :
Fundamental groups of graphs of groups , weakly potent , cyclic subgroup separable , HNN extensions , tree products , polycyclic , by , finite groups , free , by , finite groups
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
