Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2017; 54(6): 2029-2041

Online first article July 7, 2017      Printed November 30, 2017

https://doi.org/10.4134/BKMS.b160698

Copyright © The Korean Mathematical Society.

Flag-transitive point-primitive symmetric designs and three dimensional projective special unitary groups

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