[GAP Forum] Decomposing rational modules

Peter Cameron p.j.cameron at qmul.ac.uk
Fri Sep 26 10:03:31 BST 2008


Dear Forum,

Is there a simple way to decompose rational permutation modules? A quick
browse of the manual suggests that one can decompose modules over finite
fields (I suppose this uses the MeatAxe) but not over the rationals
(which I naively thought would be easier).

In particular cases one can spot a vector in each submodule and then take
the sumbodule spanned by its images, but it would be nice to have something
more general...

Peter Cameron.



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