The solvable maximal subgroup conjecture for non-central subnormal linear groups

Let $D$ be a division ring, and let $G$ be a non-central subnormal subgroup of ${\rm GL}_n(D)$. If $n\geq 2$, then $G$ contains no solvable maximal subgroups.

Solvable maximal subgroup conjecture. If $n\geq 2$, then $G$ contains no solvable maximal subgroups.

The conjecture generalizes the earlier conjecture that ${\rm GL}_n(D)$ has no solvable maximal subgroups for $n\geq 2$. It was known for non-abelian solvable maximal subgroups; the paper studies the more general assertion.