flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of lie type

نویسندگان

y. wang

department of‎ ‎mathematics‎, ‎south china university‎ ‎of technology‎, ‎510640‎, ‎guangzhou‎, ‎china. s. zhou

department of‎ ‎mathematics‎, ‎south china university‎ ‎of technology‎, ‎510640‎, ‎guangzhou‎, ‎china.

چکیده

let $g$ be an automorphism group of a‎ ‎$2$-$(v,k,4)$ symmetric design $mathcal d$‎. ‎in this paper‎, ‎we‎ ‎prove that if $g$ is flag-transitive point-primitive‎, ‎then the‎ ‎socle of $g$ cannot be an exceptional group of lie type‎.

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Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type

Let $G$ be an automorphism group of a‎ ‎$2$-$(v,k,4)$ symmetric design $mathcal D$‎. ‎In this paper‎, ‎we‎ ‎prove that if $G$ is flag-transitive point-primitive‎, ‎then the‎ ‎socle of $G$ cannot be an exceptional group of Lie type‎.

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bulletin of the iranian mathematical society

جلد ۴۳، شماره ۲، صفحات ۲۵۹-۲۷۳

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