3 problems

Let $G$ be an algebraic group of type $E_8$ with Lie algebra $\mathfrak{g}=\operatorname{Lie}(G)$ over a field of characteristic $5$. Let $M$ be a maximal subalgebra of Cartan or M…

Let $G$ be an algebraic group of type $E_8$ with Lie algebra $\mathfrak{g}=\operatorname{Lie}(G)$ over an algebraically closed field of characteristic $5$. Let $M$ be a maximal sub…

Let $G$ be a group of type ${\rm E}_8$ over a field of characteristic $p=5$, let $\mathfrak{g}=\operatorname{Lie}(G)$, and let $\mathfrak{w}$ be the maximal subalgebra referred to…