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On the number of orbits of a group in two permutation actions

✍ Scribed by David M. Evans; Johannes Siemons


Publisher
Springer
Year
1993
Tongue
English
Weight
283 KB
Volume
60
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Regular orbits of permutation groups on
✍ Peter J Cameron πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 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.