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On certain varieties of groups which are central extensions

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

R. A. Bryce
R. A. Bryce
Affiliation:
Department of Mathematics Faculty of Science Australian National UniversityP. O. Box 4 Canberra A. C. T. 2601, Australia
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Abstract

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Connexions are sought between the subvarieties of a variety U of groups and the subvarieties of the variety of all groups which are central extensions by groups in U, in the case when U has the form . Here , is the variety of abelian groups of exponent dividing r and Bis a variety of soluble groups of finite exponent.

MSC classification

Secondary: 20E10: Quasivarieties and varieties of groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 3 , December 1984 , pp. 366 - 390
Copyright
Copyright © Australian Mathematical Society 1984

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