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Jan 10, 2018 at 13:26 comment added Derek Holt Interestingly this is not necessarily true over finite fields, where it is possible for the $V_i$ to be totally singular. For example, ${\rm SU}(2n,q)$ has subgroups that are extensions of ${\rm SL}(n,q^2)$, which interchange two totally singular subspaces of dimension $n$.
Jan 10, 2018 at 12:32 answer added Paul Broussous timeline score: 6
Jan 10, 2018 at 11:05 history asked Ben Green CC BY-SA 3.0