I looking to define a homomorphism between a permutation group to another permutation group by defining the map explicitly. Same between matrix groups? Can some body help? For example The following codes gives an error
sage: G = SymmetricGroup(5) sage: r = G('(1,3,5,2,4)') sage: s = G('(2,5),(3,4)') sage: H = G.subgroup([r,s]) sage: D = DihedralGroup(5) sage: (a,b)= D.gens() phi = PermutationGroupMorphism(H,D, [a,b]) phi(x)