Exceptional groups of Lie type and flag-transitive triplanes |
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Authors: | ZHOU ShengLin & DONG HuiLi |
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Affiliation: | ZHOU ShengLin & DONG HuiLi Department of Mathematics,South China University of Technology,Guangzhou 510640,China |
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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. |
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Keywords: | symmetric design triplane flag-transitive point-primitive exceptional groups of Lie type |
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