A Series of Finite Groups and Related Symmetric Designs
نویسندگان
چکیده
Main Theorem. For every odd prime power q = p, there is a symmetric design D with parameters (2q+1, q, q 2 −1 2 ) possessing an automorphism group A of order q · ( q−1 2 ) 2 · e · 2 which is isomorphic to the subdirect product of the affine semilinear group AΓL1(q) with itself with respect to a certain epimorphism ψ : AΓL1(q) → Z2 from AΓL1(q) into the cyclic group Z2, i.e. A ∼= AΓL1(q) sdp(ψ,ψ) AΓL1(q).
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