A finitely generated, infinitely related group with trivial multiplicator
Gilbert Baumslag · Bulletin of the Australian Mathematical Society · 1971
We exhibit a 3-generator metabelian group which is not finitely related but has a trivial multiplicator. 1. The purpose of this note is to establish the exitense of a finitely generated group which is not finitely related, but whose multiplecator is finitely generated. This settles negatively a question whichb has been open for a few years (it was first brought to my attention by Michel Kervaire and Joan Landman Dyer in 1964, but I believe it is somewhat older). The group is given in the follwing theorem.