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Distance transitive graphs with symmetric or alternating automorphism group

Published online by Cambridge University Press:  17 April 2009

Martin W. Liebeck ,
Cheryl E. Praeger  and
Jan Saxl
Martin W. Liebeck
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ, England
Cheryl E. Praeger
Affiliation:
Mathematics Department, University of Western Australia, Nedlands WA 6009, Western Australia
Jan Saxl
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, Cambridge, England.
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Abstract

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The paper classifies all distance transitive graphs Γ such that An ≤ Aut Γ ≤ Aut An for some alternating group An, and Aut Γ acts primitively on the vertices of Γ. This result forms part of our programme for determining all finite primitive distance transitive graphs.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 1 , February 1987 , pp. 1 - 25
Copyright
Copyright © Australian Mathematical Society 1987

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