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PRIMITIVE PERMUTATION GROUPS WITH A COMMON SUBORBIT, AND EDGE-TRANSITIVE GRAPHS
Published online by Cambridge University Press: 06 March 2002
Abstract
Dedicated to the memory of Helmut Wielandt
In this paper a classification is obtained of all pairs G, H of finite primitive permutation groups such that G < H, the socles of G and H are different, and G and H share a common non-trivial orbital. An application is given to the study of automorphism groups of edge-transitive graphs.
2000 Mathematical Subject Classification: 20B15, 20B25.
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- Research Article
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- 2002 London Mathematical Society
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