Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T07:00:23.138Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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