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On the degress of primitive permutation groups

โœ Scribed by Peter J. Cameron; Peter M. Neumann; David N. Teague

Publisher
Springer-Verlag
Year
1982
Tongue
French
Weight
511 KB
Volume
180
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

On primitive overgroups of quasiprimitiv
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โœ Robert W. Baddeley; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 428 KB

A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G, H ) of permutation groups of degree n such that G H S n with G quasiprimitive and H primitive. An explicit classification of such pairs is obtained except in the cases wh

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The primitive permutation groups of certain degrees
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.

Transitive Subgroups of Primitive Permut
Transitive Subgroups of Primitive Permutation Groups
โœ Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 492 KB

to helmut wielandt on the occasion of his 90th birthday We investigate the finite primitive permutation groups G which have a transitive subgroup containing no nontrivial subnormal subgroup of G. The conclusion is that such primitive groups are rather rare, and that their existence is intimately co