On the Normal Subgroups of 𝐺₂(𝐴)

Costa, Douglas; Keller, Gordon

doi:10.1090/S0002-9947-99-02231-X

On the Normal Subgroups of $G_2(A)$
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by Douglas L. Costa and Gordon E. Keller PDF

Trans. Amer. Math. Soc. 351 (1999), 5051-5088 Request permission

Abstract:

We give a characterization theorem for the $E(A)$-normalized subgroups of $G_2(A)$, where $A$ is any commutative ring. This is the last of the simple Chevalley-Demazure group-schemes for which such a theorem is lacking.

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