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On the Relations Between the Rotation-Groups of the Regular Polytopes and Permutation-Groups

โœ Scribed by Sommerville, D. M. Y.


Book ID
120103213
Publisher
Oxford University Press
Year
1933
Tongue
English
Weight
329 KB
Volume
s2-35
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES


Regular orbits of permutation groups on
โœ Peter J Cameron ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

If a sequence of transitive permutation groups G of degree n have orders which are not too large (log IGI--o(n~) suttices), then the number of orbits on the power set is asymptotically 2n/]GI, and almost all of these orbits are regular. This conclusion holds in particular for primitive groups.