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The theorem of Marggraff on primitive permutation groups which contain a cycle

Published online by Cambridge University Press:  17 April 2009

Richard Levingston  and
D.E. Taylor
Richard Levingston
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
D.E. Taylor
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales.
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Abstract

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A short elementary proof is given of the theorem of Marggraff which states that a primitive permutation group which contains a cycle fixing k points is (k+1)-fold transitive. It is then shown that the method of proof actually yields a generalization of Marggraff's theorem.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 15 , Issue 1 , August 1976 , pp. 125 - 128
Copyright
Copyright © Australian Mathematical Society 1976

References

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