Dear Forum,
On Oct 1, 2012, at 10/1/12 10:31, Kashyap Rajeevsarathy <kash...@iiserb.ac.in> wrote: > Dear Forum, > > Is there a way to make GAP list the elements the elements of the class > representatives of class representatives of PGL(2,Z/pZ) and PGL(2,Z/pZ) as > 2x2 matrices? PGL as a permutation group is obtained from GL by acting on 1-dimensional spaces, a corresponding homomorphism is stored in PGL as G!.actionHomomorphism Thus for example: gap> g:=PGL(3,3); Group([ (6,7)(8,11)(9,13)(10,12), (1,2,5,7,13,3,8,6,10,9,12,4,11) ]) gap> hom:=g!.actionHomomorphism; <action epimorphism> gap> reps:=List(ConjugacyClasses(g),Representative);; gap> List(reps,x->PreImagesRepresentative(hom,x)); will give you a list of matrices representing the classes of PGL. Best, Alexander Hulpke -- Colorado State University, Department of Mathematics, Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA email: hul...@math.colostate.edu, Phone: ++1-970-4914288 http://www.math.colostate.edu/~hulpke _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
