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Cayley graphs and group presentations

Published online by Cambridge University Press:  24 October 2008

Richard M. Thomas
Richard M. Thomas
Affiliation:
Department of Computing Studies, University of Leicester, Leicester LEI 1RH
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Extract

The aim of this paper is to prove the following result:

Theorem. Let G be the group defined by the presentation

where each ui is a word in the xj and , and suppose that there is a homomorphism σ such that the orders of the elements respectively. Let If G is finite, then α−d + 1 > 0 and .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 3 , May 1988 , pp. 385 - 387
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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[3] Habary, F.. Graph Theory (Addison-Wesley, 1969).Google Scholar