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On varieties of metabelian groups of prime-power exponent

Published online by Cambridge University Press:  09 April 2009

M. S. Brooks
M. S. Brooks
Affiliation:
Australian National University
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Let Un denote the variety of abelian groups of exponent dividing n, and let p be an arbitrary prime. In this paper all non-nilpotent, join-ireducible subvarieties of the product variety UpUp2 are determined. The proper subvarieties of this kind in fact form an infinite ascending chain …, and an arbitrary proper subvariety B of UpUp2 is either nilpotent or a join , where L is nilpotent and k is uniquely determined by B.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 2 , September 1972 , pp. 129 - 154
Copyright
Copyright © Australian Mathematical Society 1972

References

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