Dear Forum,

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 construction?

I am escpecially interested in the question if the induced transitive representations on the 5-dimensional projective spaces PG(5,q) are primitive?

Thank you very much for your help.

Bye,

Gabor

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