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

نویسندگان

  • S. Zhou Department of‎ ‎Mathematics‎, ‎South China University‎ ‎of Technology‎, ‎510640‎, ‎Guangzhou‎, ‎China.
  • Y. Wang Department of‎ ‎Mathematics‎, ‎South China University‎ ‎of Technology‎, ‎510640‎, ‎Guangzhou‎, ‎China.
چکیده مقاله:

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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عنوان ژورنال

دوره 43  شماره 2

صفحات  259- 273

تاریخ انتشار 2017-04-01

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