On Primitive Representations of Finite Alternating and Symmetric Groups with a 2-Transitive Subconstituent |
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| Authors: | Cheryl E Praeger Jie Wang |
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| Institution: | aDepartment of Mathematics, The University of Western Australia, Nedlands, Western Australia, 6907, Australia;bDepartment of Mathematics, Peking University, Beijing, 100871, People's Republic of China |
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| Abstract: | In this paper we analyse primitive permutation representations of finite alternating and symmetric groups which have a 2-transitive subconstituent. We show that either the representation belongs to an explicit list of known examples, or the point stabiliser is a known almost-simple 2-transitive group and acts primitively in the natural representation of the associated alternating or symmetric group. |
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