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Exceptional groups of Lie type and flag-transitive triplanes
Authors:ZHOU ShengLin & DONG HuiLi
Affiliation:ZHOU ShengLin & DONG HuiLi Department of Mathematics,South China University of Technology,Guangzhou 510640,China
Abstract:
A triplane is a ( v, k, 3)-symmetric design. Let G be a subgroup of the full automorphism group of a triplane D. In this paper we prove that if G is flag-transitive and point-primitive, then the socle of G cannot be a simple exceptional group of Lie type.
Keywords:symmetric design  triplane  flag-transitive  point-primitive  exceptional groups of Lie type  
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