Dear Subscribers to the GAP Forum, I am an undergraduate student and taking my first class in Group Theory. I would like to obtain a) the permutation cycles of the faces of a truncated octahedron induced by the action of its rotation group (S_4); and b) the orbits of its faces;
To generate S_4 in GAP is the easiest part. By I do not know, how to specify the domain, \Omega, and \mu which is defined to be "a function compatible with the group arithmetic." ( http://www.gap-system.org/Manuals/doc/ref/chap41.html). Since a truncated octahedron is made of 8 regular hexagons and 6 squares, would I be correct in specifying the domain as gap>dom:=[[1,2,3,4,5,6,7,8],[9,10,11,12,13,14]]; where 1..8 are the labels of the hexagonal faces and 9..14 are the label of the squared faces? Concerning the method \mu, GAP manual specifies many different options ranging from paragraph 41.2-1 to 41.2-15. I have no idea which one apply to my case. Would you be so kind to give to me an hint? Moreover, I will really appreciate if you can suggest to me some reference so that I can understand a good portion of the other methods with the constraint that I am an undergraduate student Thank you very much, Michele _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
