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Rank and abelian rank of systems of equations over the free group

Published online by Cambridge University Press:  20 January 2009

John Lawrence
John Lawrence
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
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Abstract

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Given a finite irredundant system of equations to be solved over the free group, one has four non-negative integers: the number of equations, the number of indeterminants, the rank of the system and the Abelian rank of the system. We show which four-tuples can actually occur.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 217 - 223
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

REFERENCES

1.Albert, M. and Lawrence, J., Unification in Varieties of groups: Nilpotent groups, Canad. J. Math. 46 (1994), 1135–1149.Google Scholar
2.Lawrence, J., On the unification of group equations.Google Scholar
3.Lyndon, R., Equations in groups, Bol. Soc. Brasil. Mat. 11 (1980), 79–102.CrossRefGoogle Scholar