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Soluble groups with a finite rewriting system

Published online by Cambridge University Press:  20 January 2009

J. R. J. Groves  and
G. C. Smith
J. R. J. Groves
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Australia 3052
G. C. Smith
Affiliation:
School of Mathematical Sciences, University of Bath, England
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Abstract

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We describe a class of soluble groups with a finite complete rewriting system which includes all the soluble groups known to have such a system. It is an open question, related to deep questions in the theory of groups, whether it includes all soluble groups with such a system.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 283 - 288
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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