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Regular orbits of permutation groups on the power set

โœ Scribed by Peter J Cameron

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
139 KB
Volume
62
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

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.

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