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The primitive permutation groups of some special degrees

โœ Scribed by Peter M. Neumann; Jan Saxl


Publisher
Springer-Verlag
Year
1976
Tongue
French
Weight
212 KB
Volume
146
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES


The primitive permutation groups of cert
โœ Cai Heng Li ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 764 KB

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.

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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.

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โœ Colva M. Roney-Dougal; William R. Unger ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 189 KB

In this paper we complete the classification of the primitive permutation groups of degree less than 1000 by determining the irreducible subgroups of GL(n, p) for p prime and p n < 1000. We also enumerate the maximal subgroups of GL(8, 2), GL(4, 5) and GL(6, 3).