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On doubly transitive permutation groups of degree prime squared plus one

Published online by Cambridge University Press:  09 April 2009

David Chillag
David Chillag
Affiliation:
Technion, Israel Institute of Technology, Haifa, Israel.
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Abstract

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A doubly transitive permutation group of degree p2 + 1, p a prime, is proved to be doubly primitive for p ≠ 2. We also show that if such a group is not triply transitive then either it is a normal extension of P S L (2, p2) or the stabilizer of a point is a rank 3 group.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 2 , March 1977 , pp. 202 - 206
Copyright
Copyright © Australian Mathematical Society 1977

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