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Verbal wreath products and certain product varieties of groups

Published online by Cambridge University Press:  09 April 2009

R. G. Burns
R. G. Burns
Affiliation:
Monash University Melbourne
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Recently A. L. Šmel'kin [14] proved that a product variety1 is generated by a finite group if and only if is nilpotent, is abelian, and the exponents of and are coprime. Alternatively, by the theorem of Oates and Powell [13], we may say that a Cross variety is decomposable if and only if it is of the above form.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 3 , August 1967 , pp. 356 - 374
Copyright
Copyright © Australian Mathematical Society 1967

References

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