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On nilpotent wreath products

Published online by Cambridge University Press:  24 October 2008

J. D. P. Meldrum
J. D. P. Meldrum
Affiliation:
Emmanuel College, Cambridge
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Extract

1. Introduction. The wreath product A wr B of a group A by a group B is nilpotent if and only if A is a nilpotent p-group of finite exponent and B is a finite p-group for the same prime p (Baumslag (1)). When A is an Abelian p-group of exponent pk, and B is the direct product of cyclic groups of orders pβ1, …, pβn and β1 ≥ β2 ≥ …, ≥ βn, then Liebeck has shown that the nilpotency class c of A wr B is

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 1 - 15
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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