flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of lie type
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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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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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Journal title:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۲، صفحات ۲۵۹-۲۷۳
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