Constructing flag-transitive, point-imprimitive designs
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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⋅M22):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.
Cameron , P J & Praeger , C E 2016 , ' Constructing flag-transitive, point-imprimitive designs ' Journal of Algebraic Combinatorics , vol 43 , no. 4 , pp. 755-769 . DOI: 10.1007/s10801-015-0591-4
Journal of Algebraic Combinatorics
© Springer Science+Business Media New York 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/s10801-015-0591-4
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