2
$\begingroup$

I'm new to algebaric groups, so please accept my apology in advance if I post crazy questions.

Let $G$ be a classical simple group over a finite field $GF(q)$ and $P$ a parabolic subgroup of $G$ stabilizing an isotropic subspace. Is the Borel subgroup of $G$ maximal soluble in $P$ and is there any maximal soluble subgroup in $P$ besides the Borel subgroup? Here by maximal soluble I mean a maximal one among soluble subgroups of $P$.

Any feedback is appreciated!

  • 0
    @jug Oh, sorry, I should give a link. Thanks for reminding me!2012-11-26

0 Answers 0