Quasithin Theorem

In the classical quasithin case of the Quasi-Unipotent Problem, if $G$ does not have a ``strongly embedded'' Subgroup, then $G$ is a Group of Lie-Type in characteristic 2 of Lie Rank 2 generated by a pair of parabolic Subgroups $P_1$ and $P_2$, or $G$ is one of a short list of exceptions.

See also Lie-Type Group, Quasi-Unipotent Problem