On flag-transitive automorphism groups of symmetric designs

Seyed Hassan Alavi, Ashraf Daneshkhah, Narges Okhovat

Abstract


In this article, we study flag-transitive automorphism groups of non-trivial symmetric (v, k, λ) designs, where λ divides k and k ≥ λ2. We show that such an automorphism group is either point-primitive of affine or almost simple type, or point-imprimitive with parameters v = λ2(λ + 2) and k = λ(λ + 1), for some positive integer λ. We also provide some examples in both possibilities.


Keywords


Symmetric design, flag-transitive, point-primitive, point-imprimitive, automorphism group

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DOI: https://doi.org/10.26493/1855-3974.1891.3b7

ISSN: 1855-3974

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