[GAP Forum] generators of subgroups
Bill Allombert
Bill.Allombert at math.u-bordeaux1.fr
Mon Mar 30 16:59:16 BST 2009
Dear GAP Forum,
I have a matrix group G generated by a family of matrix, says
(example from GAP documentation) and C its composition series:
m1 := [ [ Z(3)^0, Z(3)^0, Z(3) ], [ Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3), 0*Z(3) ] ];;
m2 := [ [ Z(3), Z(3), Z(3)^0 ], [ Z(3), 0*Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3) ] ];;
G := Group( m1, m2 );
C := CompositionSeries(G);
The elements of C are subgroups of G.
I would like to get a set of generators for the elements of C expressed in term of the generators of G.
Cheers,
Bill.
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