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arXiv · 2308.12930

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

Wajid Mannan
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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.

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Wajid Mannan. 2023-08-24. Explicit generators for the relation module in the example of Gruenberg-Linnell. https://doi.org/10.1017/s0305004116000189

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