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Test words of a free product of two finite cyclic groups

Published online by Cambridge University Press:  20 January 2009

Daniel A. Voce
Daniel A. Voce
Affiliation:
Department of Mathematics and Statistics, University at Albany, Albany, New York 12222, USA
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Abstract

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We characterize the test words of ℤm * ℤn. They are those elements not contained in a proper retract.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 3 , October 1997 , pp. 551 - 562
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

1.Imrich, W. and Turner, E. C., Endomorphisms of free groups and their fixed points, Math. Proc. Cambridge Philos. Soc 105 (1989), 421–422.CrossRefGoogle Scholar
2.Lyndon, R. and Schupp, P., Combinatorial Group Theory (Springer-Verlag, 1970).Google Scholar
3.Magnus, W., Karrass, A. and Solitar, D., Combinatorial Group Theory (Wiley, New York, 1966).Google Scholar
4.Turner, E. C., Test words for automorphisms of free groups, Bull. London Math. Soc., to appear.Google Scholar