[GAP Forum] Matrix Generators of a Group Represented as a Permutation

[Hulpke,Alexander]

Dear Forum, Dear David Musyoka,

>  my group G=N:Q is a split extension of N by Q,where Q is an elementary abelian group.
> Subjecting the Permutation Representation of the Group G to the above process, 
> Am able to generate Q(The acting Algebra) and not G.
> Is there a way i can proceed to get the matrix generators of N of same dimension as that of Q?

If you mean the action (of G/N) on the elementary abelian subgroup $N$, this can be done as

Group(LinearActionLayer(G,Pcgs(N)));

Best wishes,

  Alexander Hulpke

-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hulpke at colostate.edu, 
http://www.math.colostate.edu/~hulpke