✦ LIBER ✦
On Primitive Representations of Finite Alternating and Symmetric Groups with a 2-Transitive Subconstituent
✍ Scribed by Cheryl E. Praeger; Jie Wang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 293 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
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. ᮊ 1996 Academic Press, Inc.