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The laws of some metabelian varieties

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Richard Levingston
Richard Levingston
Affiliation:
Department of Mathematics, Institute of Advanced Studies, The Australian National University, P.O. Box 4, Canberra, A.C.T. 2600, Australia
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Abstract

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It is shown that if m, n are relatively prime positive integers, then the variety consisting of those soluble groups of exponent mn in which any subgroup of exponent m or n is abelian has a basis of two-variable laws.

MSC classification

Secondary: 20E10: Quasivarieties and varieties of groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 4 , April 1981 , pp. 469 - 472
Copyright
Copyright © Australian Mathematical Society 1981

References

Gorenstein, D. (1968), Finite groups (Harper and Row, New York, Evanston, London).Google Scholar
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Neumann, H. (1967), Varieties of groups (Ergebnisse der Mathematik und ihrer Grenzgebiete 37, Springer-Verlag, Berlin, Heidelberg, New York).CrossRefGoogle Scholar