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On varieties of soluble groups II

Published online by Cambridge University Press:  17 April 2009

J.R.J. Groves
J.R.J. Groves
Affiliation:
University of Manitoba, Winnipeg, Canada.
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Abstract

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It is shown that, in a variety which does not contain all metabelian groups and is contained in a product of (finitely many) varieties each of which is soluble or locally finite, every group is an extension of a group of finite exponent by a nilpotent group by a group of finite exponent.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 437 - 441
Copyright
Copyright © Australian Mathematical Society 1972

References

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