Weak potency of certain fundamental groups of graphs of groups (original) (raw)

2017

Abstract

It is known that the fundamental group of graph of polycyclic-by-finite and free-by-finite groups amalgamating infinite cyclic edge subgroups with non-trivial intersection are weakly potent. In this paper, we shall show that these groups are still weakly potent when the amalgamated infinite cyclic edge subgroups have trivial intersection.

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