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- W3136123679 abstract "We prove the existence and uniqueness of a new maximal subgroup of the algebraic group of type $E_8$ in characteristic $3$. This has type $F_4$, and was missing from previous lists of maximal subgroups produced by Seitz and Liebeck--Seitz. We also prove a result about the finite group $H={}^3!D_4(2)$, that if $H$ embeds in $E_8$ (in any characteristic $p$) and has two composition factors on the adjoint module then $p=3$ and $H$ lies in this new maximal $F_4$ subgroup." @default.
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- W3136123679 date "2021-03-22" @default.
- W3136123679 modified "2023-09-27" @default.
- W3136123679 title "A New Maximal Subgroup of $E_8$ in Characteristic $3$" @default.
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