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A Magnus theorem for T(6) groups

Published online by Cambridge University Press:  24 October 2008

James Howie
James Howie
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS
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Extract

A theorem of Magnus [4] says that, if R and S are two cyclically reduced words in a free group F whose normal closures are equal, then R is a cyclic permutation of S or its inverse. This is useful for comparing presentations of one-relator groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 1 - 3
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

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[3]Lyndon, R. C. and Schupp, P. E.. Combinatorial group theory (Springer-Verlag, 1977).Google Scholar
[4]Magnus, W.. Untersuchungen über einige unendliche diskontinuierliche Gruppen. Math. Ann. 105 (1931), 52–74.CrossRefGoogle Scholar
[5]Pride, S. J.. Star complexes and the dependence problem for hyperbolic complexes. Glasgow Math. J., to appear.Google Scholar