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

Published online by Cambridge University Press:  07 March 2016

W. H. MANNAN
W. H. MANNAN*
Affiliation:
School of Computing, Engineering and Mathematics, University of Brighton, Cockroft Building, Lewes Road, Brighton BN2 4GJ. e-mail: [email protected]
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Abstract

Gruenberg 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 2 , September 2016 , pp. 199 - 202
Copyright
Copyright © Cambridge Philosophical Society 2016 

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References

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