Hi, I'm having a problem with creating a listing of the direct product of two groups. They are...
1) The cyclic group(C2) of order 2: < h | h^2 = 1 > and 2) The dihedral group(D12) of order 12: < a , b | a^2 = 1 , b^6 = 1 , ab = ba^(-1) >. What I need is a listing of the elements of C2 x D12(in a list) in the order that I want.... [ 1 , b , b^2 , ... , b^5 , a , ab , ab^2 , ... , ab^5 , h , hb , hb^2 , ... , hb^5 , hab , hab^2 , hab^5 ]. When I try to use DirectProduct and the Image(Embedding(GDirect,1),b); technique in other posts to this forum about direct products, I get an error. What i tried was.... h := GeneratorsOfGroup( GCyclic )[1] ; a := GeneratorsOfGroup( GDihedral )[1] ; b := GeneratorsOfGroup( GDihedral )[2] ; with GCyclic := CyclicGroup( 2 ) ; GDihedral := DihedralGroup( 12 ) ; . Thanks, Ian -- Ian McLoughlin [EMAIL PROTECTED] _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
