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In this article, we study symmetric ( v , k , λ ) designs admitting a flag‐transitive and point‐primitive automorphism group G whose socle is isomorphic to a projective special… Click to show full abstract
In this article, we study symmetric ( v , k , λ ) designs admitting a flag‐transitive and point‐primitive automorphism group G whose socle is isomorphic to a projective special linear group of dimension at most four. We, in particular, determine all such possible parameters ( v , k , λ ) and show that such a design belongs to one of two infinite families of point‐hyperplane designs or it is isomorphic to a design with parameters (7, 3, 1), (7, 4, 2), (11, 5, 2), (11, 6, 3), (15, 8, 4), (35, 18, 9), or (56, 45, 18).
Keywords:
symmetric designs;
designs projective;
special linear;
dimension four;
projective special;
linear groups
Journal Title: Journal of Combinatorial Designs
Year Published: 2020
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Journal Title: Journal of Combinatorial Designs
Year Published: 2020
Link to full text (if available)
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recommendations!