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On certain abelian-by-nilpotent varieties

Published online by Cambridge University Press:  17 April 2009

J.M. Brady ,
R.A. Bryce  and
John Cossey
J.M. Brady
Affiliation:
Australian National University, Canberra, ACT.
R.A. Bryce
Affiliation:
Australian National University, Canberra, ACT.
John Cossey
Affiliation:
Australian National University, Canberra, ACT.
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Abstract

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We show that, whenever m, n are coprime, each subvariety of the abelian-by-nilpotent variety has a finite basis for its laws. We further Show that the just non-Cross subvarieties of are precisely those already known.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 403 - 416
Copyright
Copyright © Australian Mathematical Society 1969

References

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