Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$

In this article‎, ‎we prove that if a nontrivial symmetric $(v‎, ‎k‎, ‎\lambda)$ design admit a flag-transitive and point-primitive automorphism group $G$‎, ‎then the socle $X$ of $G$ cannot be a projective special unitary group of dimension five‎. ‎As a corollary‎, ‎we list all exist nineteen non-i...

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Bibliographic Details
Main Author: Ashraf Daneshkhah
Format: Article
Language:English
Published: University of Isfahan 2022-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_25912_7bf6160b47aac2e1727152ec1fac1175.pdf