Geodesic
Constructing flag-transitive, point-imprimitive designs
Journal of Algebraic Combinatorics, Tome 43 (2016) no. 4, pp. 755-769.

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

We give a construction of a family of designs with a specified point-partition and determine the subgroup of automorphisms leaving invariant the point-partition. We give necessary and sufficient conditions for a design in the family to possess a flag-transitive group of automorphisms preserving the specified point-partition. We give examples of flag-transitive designs in the family, including a new symmetric 2-(1408,336,80) design with automorphism group $2^{12}:((3\cdot \mathrm {M}_{22}):2)$ and a construction of one of the families of the symplectic designs (the designs $S^-(n)$) exhibiting a flag-transitive, point-imprimitive automorphism group.
Classification : 05B30
Keywords: flag-transitive design, symmetric design, automorphisms, point-imprimitive design 
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     author = {Cameron, Peter J. and Praeger, Cheryl E.},
     title = {Constructing flag-transitive, point-imprimitive designs},
     journal = {Journal of Algebraic Combinatorics},
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     publisher = {mathdoc},
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     number = {4},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2016__43_4_a8/}
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Cameron, Peter J.; Praeger, Cheryl E. Constructing flag-transitive, point-imprimitive designs. Journal of Algebraic Combinatorics, Tome 43 (2016) no. 4, pp. 755-769. http://geodesic.mathdoc.fr/item/JAC_2016__43_4_a8/