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 Flag-transitive point-primitive symmetric designs and three dimensional projective special unitary groups Bull. Korean Math. Soc. 2017 Vol. 54, No. 6, 2029-2041 https://doi.org/10.4134/BKMS.b160698Published online November 30, 2017 Ashraf Daneshkhah, Sheyda Zang Zarin Bu-Ali Sina University, Bu-Ali Sina University Abstract : The main aim of this article is to study symmetric $(v,k,\lambda)$ designs admitting a flag-transitive and point-primitive automorphism group $G$ whose socle is $\PSU(3, q)$. We indeed show that such designs must be complete. Keywords : symmetric design, point-primitive, flag-transitive, automorphism group MSC numbers : 05B05, 05B25, 20B25 Full-Text :