,The Chevalley Groups G2(2n) and 2-(v,k, 1) Designs

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Let G be an automorphism group of a 2-(v,k, 1) design. In this paper, we prove that, if G is line-primitive, then Soc(G) is not isomorphic to G2(2n), where n ≥ 2 is a positive integer.
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