Minimal permutation representation of Thompson's simple group (Q1263668)
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scientific article; zbMATH DE number 4127481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal permutation representation of Thompson's simple group |
scientific article; zbMATH DE number 4127481 |
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Minimal permutation representation of Thompson's simple group (English)
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1988
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Thompson's finite sporadic group \(F_ 3\) has a subgroup H of minimal possible index 143,127,000. This group H is isomorphic to \({}^ 3D_ 4(2).3\) (the split extension). The permutation representation of \(F_ 3\) on cosets \(F_ 3/H\) has rank 11. The purpose of this paper is to obtain subdegrees and stabilizers of two points in this permutation representation.
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Thompson's finite sporadic group \(F_ 3\)
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permutation representation
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cosets
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subdegrees
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stabilizers
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