BIRS Workshop Lecture Videos
$AGL_n(Q)$ and $PGL_n(Q)$ are maximal-closed Simon, Pierre
In joint work with Itay Kaplan, we show that $AGL_n(Q)$ ($n>1$) and $PGL_n(Q)$ ($n>2$) are maximal amongst closed proper subgroups of the infinite symmetric group. I will present this result and its proof which relies on Adeleke and Macpherson's classification of infinite Jordan groups. I will also mention some open questions.
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