English

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

Group Theory 2023-08-25 v1 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.2308.12930,
  title  = {Explicit generators for the relation module in the example of Gruenberg-Linnell},
  author = {Wajid Mannan},
  journal= {arXiv preprint arXiv:2308.12930},
  year   = {2023}
}

Comments

Paper published in peer reviewed journal in 2016

R2 v1 2026-06-28T12:03:40.476Z