Geodesic
Finite primitive groups and edge-transitive hypergraphs
Journal of Algebraic Combinatorics, Tome 43 (2016) no. 3, pp. 715-734.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We determine all finite primitive groups that are automorphism groups of edge-transitive hypergraphs. This gives an answer to a problem proposed by L. Babai and P. J. Cameron [J. Algebra 421, 512--523 (2015; Zbl 1321.20001)].
Classification : 05C25, 05C65, 20B15, 20H30
Keywords: uniform hypergraph, edge-transitive, primitive group, automorphism group of set systems 
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     title = {Finite primitive groups and edge-transitive hypergraphs},
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Spiga, Pablo. Finite primitive groups and edge-transitive hypergraphs. Journal of Algebraic Combinatorics, Tome 43 (2016) no. 3, pp. 715-734. http://geodesic.mathdoc.fr/item/JAC_2016__43_3_a1/