Recognizing \(\mathrm{PGL}_3\) via generic 4-transitivity (Q1644003)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recognizing \(\mathrm{PGL}_3\) via generic 4-transitivity |
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Recognizing \(\mathrm{PGL}_3\) via generic 4-transitivity (English)
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21 June 2018
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Summary: We show that the only transitive and generically 4-transitive action of a group of finite Morley rank on a set of Morley rank 2 is the natural action of \(\mathrm{PGL}_3\) on the projective plane.
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primitive permutation groups
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multiple transitivity
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finite Morley rank
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