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On multiply transitive permutation groups

Published online by Cambridge University Press:  09 April 2009

G. P. Monro  and
D. E. Taylor
G. P. Monro
Affiliation:
Department of Pure Mathematics University of SydneyN.S.W. 2006Australia
D. E. Taylor
Affiliation:
Department of Pure Mathematics University of SydneyN.S.W. 2006Australia
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Abstract

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We present a direct combinatorial proof of the characterization of the degree of transivity of a finite permutation group in terms of the Bell numbers.

Subject classification (Amer. Math.Soc. (MOS) 1970): 20 B 20.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 57 - 58
Copyright
Copyright © Australian Mathematical Society 1978

References

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Merris, R. and Pierce, S. (1971), “The Bell numbers and r-fold transitivity”, J. Combinatorial Theory (A) 12, 155–157.CrossRefGoogle Scholar
Lint, J. van (1974), Combinatorial Theory Seminar, Eindhoven University of Technology (Springer-Verlag Lecture Notes in Mathematics, 382, Berlin).CrossRefGoogle Scholar