On orbit equivalent permutation groups (Q797673)
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scientific article; zbMATH DE number 3867548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On orbit equivalent permutation groups |
scientific article; zbMATH DE number 3867548 |
Statements
On orbit equivalent permutation groups (English)
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1984
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The author gives a proof, independent of the classification of the finite simple groups, of a theorem of A. Wagner that shows there are but seven exceptions to the statement: If two primitive groups acting on the same set X have the same orbits on \(2^ X\) and one is contained in the other, then they are equal. The author states that Siemons and Wagner have independently given such a proof.
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primitive groups
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orbits
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