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Bounds on the Engel class of some group extensions

Published online by Cambridge University Press:  24 October 2008

David Shield
David Shield
Affiliation:
Australian National University
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Abstract

In this paper upper bounds on the Engel length of a group G of prime-power exponent are obtained, under varying conditions on a normal subgroup H and the quotient G/H. Examples are constructed to show that the bounds are best possible when the nilpotency class of H is less than the relevant prime.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 179 - 188
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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