Regular orbits of permutation groups on
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Peter J Cameron
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Article
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1986
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Elsevier Science
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English
β 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.