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Vertex-primitive half-transitive graphs

Part of: Permutation groups

Published online by Cambridge University Press:  09 April 2009

D. E. Taylor  and
Ming-Yao Xu
D. E. Taylor
Affiliation:
School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australia
Ming-Yao Xu
Affiliation:
Institute of Mathematics, Peking University, Beijing 100871, People's, Republic of China
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Abstract

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Given an infinite family of finite primitive groups, conditions are found which ensure that almost all the orbitals are not self-paired. If p is a prime number congruent to ±1(mod 10), these conditions apply to the groups P S L (2, p) acting on the cosets of a subgroup isomorphic to A5. In this way, infinitely many vertex-primitive ½-transitive graphs which are not metacirculants are obtained.

MSC classification

Secondary: 20B25: Finite automorphism groups of algebraic, geometric, or combinatorial structures 20B15: Primitive groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 57 , Issue 1 , August 1994 , pp. 113 - 124
Copyright
Copyright © Australian Mathematical Society 1994

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