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A characterization of G_{2}(3)

### J. Group Theory 11 (2008), no. 4, 479--494.

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**Abstract:**

Let G be finite group of with a large subgroup Q and suppose M is a maximal
p-local, parabolic subgroups of G containing Q such Y_{ M} is not
contained in Q, but [ Y_{ M},M^{0}] is contained in Q. In
this paper we show that G is isomorphic to G_{2}(3)

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