Explicit generators for the relation module in the example of Gruenberg–Linnell
2016 ◽
Vol 161
(2)
◽
pp. 199-202
AbstractGruenberg and Linnell showed that the standard relation module of a free product of n groups of the form Cr × $\mathbb{Z}$ could be generated by just n + 1 generators, raising the possibility of a relation gap. We explicitly give such a set of generators.