The affine and projective groups are maximal

Kaplan, Itay; Simon, Pierre

doi:10.1090/tran/6608

The affine and projective groups are maximal
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by Itay Kaplan and Pierre Simon PDF

Trans. Amer. Math. Soc. 368 (2016), 5229-5245 Request permission

Abstract:

We show that the groups $AGL_{n}\left (\mathbb {Q}\right )$ (for $n\geq 2$) and $PGL_{n}\left (\mathbb {Q}\right )$ (for $n\geq 3$), seen as closed subgroups of $S_{\omega }$, are maximal-closed.

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