Weak potency of fundamental groups of graphs of groups

Document Type

Article

Publication Date

1-1-2010

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.

Keywords

Fundamental groups of graphs of groups, weakly potent, cyclic subgroup separable, HNN extensions, tree products, polycyclic-by-finite groups, free-by-finite groups

Publication Title

Bulletin of the Malaysian Mathematical Sciences Society

Volume

33

Issue

2

Publisher

Malaysian Mathematical Sciences Soc

Publisher Location

UNIV SAINS MALAYSIA, SCH MATHEMATICAL SCIENCES, PULAU PINANG, 11800 USM, MALAYSIA

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