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On varieties of metabelian groups of prime-power exponent
Published online by Cambridge University Press: 09 April 2009
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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.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 14 , Issue 2 , September 1972 , pp. 129 - 154
- Copyright
- Copyright © Australian Mathematical Society 1972
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