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Flag-transitive point-primitive 2- ( v , k , λ ) designs with A n ( n = 6 , 7 , 8) socle
AIMS Mathematics 2025, 10(11): 27666-27676
Published: 26 November 2025
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This paper classifies all flag-transitive point-primitive nontrivial 2- ( v , k , λ ) designs whose automorphism groups have socle A n for n = 6 , 7 , 8. Up to isomorphism, there are exactly 50 such designs, including 11 full designs and 3 symmetric ones.

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