Dear GAP forum,

I would like to compute the 1st cohomology of the group GL(3,3) acting on the tensor product of the modules M and D, where M and D are the following.

* M is the direct sum of 3 copies of GF(3) (on which GL(3,3) acts canonically). * D is the determinant of the 3-times-3-matrices over GL(3,3) (on which GL(3,3) also acts canonically).

As I am a novice to computing cohomology with GAP, I would be very happy about a hint if this can be done or not.

Best,
Mathias

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