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Unification in Varieties of Groups:Nilpotent Varieties

Published online by Cambridge University Press:  20 November 2018

Michael H. Albert  and
John Lawrence
Michael H. Albert
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, U.S.A.
John Lawrence
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L3G1
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Abstract

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In this paper we show that any system of equations over a free nilpotent group of class c is either unitary or miliary. In fact, such a system either has a most general solution (akin to the most general solution of a system of linear dipohantine equations), or every solution has a proper generalization. In principle we provide an algorithm for determining whether or not a most general solution exists, and exhibiting it if it does.

Keywords

20F1820E1068Q40
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 6 , 01 December 1994 , pp. 1135 - 1149
Copyright
Copyright © Canadian Mathematical Society 1994

References

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