Explicit generators for the relation module in the example of Gruenberg-Linnell

Abstract

Gruenberg and Linnell showed that the standard relation module of a free product of $n$ groups of the form $C_r\times \mathbb{Z}$ could be generated by just $n+1$ generators, raising the possibility of a relation gap. We explicitly give such a set of generators.

Paper published in peer reviewed journal in 2016

References in corpus (2)

• Realizing algebraic 2-complexes by cell complexes
• Quillen's Plus Construction and the D(2) problem