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On the power of a prime dividing the order of the automorphism group of a finite group

Published online by Cambridge University Press:  18 May 2009

J. C. Howarth
J. C. Howarth
Affiliation:
The University Glasgow
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The existence of a function g of hhaving the property that pr divides the order of the automorphism group of a finite group G whenever pg divides the order of G was first established by Ledermann and Neumann [4], who showed that the least such function g(h) satisfies the inequality

Later Green [2] improved this estimate to

In the Present paper this will be revised, for sufficiently large h, to

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 4 , September 1960 , pp. 163 - 170
Copyright
Copyright © Glasgow Mathematical Journal Trust 1960

References

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