Geodesic
Recognizing PGL$_3$ via generic 4-transitivity
Journal of the European Mathematical Society, Tome 20 (2018) no. 6, pp. 1525-1559

Voir la notice de l'article provenant de la source EMS Press

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 PGL3​ on the projective plane.
DOI : 10.4171/jems/792
Classification : 20-XX, 03-XX
Keywords: Primitive permutation groups, multiple transitivity, finite Morley rank 
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     author = {Tuna Alt{\i}nel and Joshua Wiscons},
     title = {Recognizing {PGL}$_3$ via generic 4-transitivity},
     journal = {Journal of the European Mathematical Society},
     pages = {1525--1559},
     publisher = {mathdoc},
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     number = {6},
     year = {2018},
     doi = {10.4171/jems/792},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/792/}
}
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Tuna Altınel; Joshua Wiscons. Recognizing PGL$_3$ via generic 4-transitivity. Journal of the European Mathematical Society, Tome 20 (2018) no. 6, pp. 1525-1559. doi: 10.4171/jems/792

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