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Groups of breadth four have class five

Published online by Cambridge University Press:  18 May 2009

I. D. Macdonald
I. D. Macdonald
Affiliation:
Department of Mathematics, University of Stirling, Stirling, Scotland
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A conjecture of reputable vintage states that c(G)≤b(G) + l for a finite p-group G of class c(G) and breadth b(G). This result has been proved in a medley of special cases and in particular whenever b(G)≤3. We now prove it for b(G) = 4.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 2 , July 1978, pp. 141 - 148
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

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