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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!

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    You are allowed to post crazy questions, as long as someone can understand you enough to answer. =)2012-11-24
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    @PatrickDaSilva Hope someone understanding my question kindly answer it:-)2012-11-24
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    If you ask the [same question here and on mathoverflow](http://mathoverflow.net/questions/114333/maximal-soluble-subgroups-in-a-parabolic-subgroup-of-finite-classical-simple-grou), please give a link to the other page to avoid duplicated work by people not checking both pages!2012-11-25
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    @jug Oh, sorry, I should give a link. Thanks for reminding me!2012-11-26

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