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On doubly transitive permutation groups of degree prime squared plus one

Part of: Permutation groups

Published online by Cambridge University Press:  09 April 2009

Peter J. Cameron
Peter J. Cameron
Affiliation:
Merton College Oxford OX1 4JD England.
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Abstract

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Groups with the property of the title were considered by Chillag (1977); this paper completes his results by showing that, with known exceptions, they are triply transitive.

MSC classification

Secondary: 20B20: Multiply transitive finite groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 3 , November 1978 , pp. 317 - 318
Copyright
Copyright © Australian Mathematical Society 1978

References

Chillag, D. (1977), “On doubly transitive permutation groups of degree prime squared plus one”, J. Austral. Math. Soc. (A), 23, 202–206.CrossRefGoogle Scholar
Higman, D. G. (1970), “Characterization of families of rank 3 permutation groups by the subdegrees, I”, Arch, der Math. 21, 151–156.CrossRefGoogle Scholar
Taylor, D. E. (1977), “Regular two-graphs”, Proc. London Math. Soc. (3), 35, 257–274.CrossRefGoogle Scholar