Re: [GAP Forum] Linear representation of G2(q), q even

2008-12-22 Thread Frank Lübeck
On Sat, Dec 20, 2008 at 04:01:37PM +0100, Nagy Gábor wrote: It is well known that for even prime power q, the exceptional Lie group G2(q) has two linear representations of dimension 6, both are transitive on the set of non-zero vectors. Can you suggest me some literature about this

Re: [GAP Forum] Linear representation of G2(q), q even

2008-12-22 Thread Juergen Mueller
Dear GAP-Forum, dear Gabor, here, in addition to Frank's comment, is an idea how to show that G_2(q) acts transitively and primitively on PG(5,q) whenever q is even: It is known that in any characteristic the Lie type graphs associated to the maximal parabolic subgroups of G_2(q) are isomorphic