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On groups admitting a noncyclic abelian automorphism group

Published online by Cambridge University Press:  17 April 2009

J.N. Ward
J.N. Ward
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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It is shown that a condition of Kurzwell concerning fixed-points of certain operators on a finite group G is sufficient to ensure that G is soluble. The result generalizes those of Martineau on elementary abelian fixed-point-free operator groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 3 , December 1973 , pp. 363 - 366
Copyright
Copyright © Australian Mathematical Society 1973

References

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