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

Weak potency of certain fundamental groups of graphs of groups

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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