We improve a result of Liebeck and Saxl concerning the minimal degree of a primitive permutation group and use it to strengthen a result of Guralnick and Neubauer on generic covers of Riemann surfaces.
The primitive permutation groups of certain degrees
โ Scribed by Cai Heng Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 764 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-4049
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โฆ Synopsis
This paper precisely classifies all simple groups with subgroups of index n and all primitive permutation groups of degree n, where n = 2.3', 5.3' or 10.3' for Y 2 1. As an application, it proves positively Gardiner and Praeger's conjecture in [6] regarding transitive groups with bounded movement.
๐ SIMILAR VOLUMES
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We complete data in Sims' list of the 406 primitive permutation groups of degree โค 50, as given in a CAYLEY library, by an explicit description of the structure of the 202 groups missing till now. The completed list is available in MAGMA.
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