On Fri, Dec 13, 2013 at 11:31:30AM +0000, Michele Nardella wrote: > 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).
I really suggest you do the computation by hand, and then to do it using GAP when you have a clear picture of the concept involved. S_4 is a small group, so the computation is easy. Cheers, Bill. _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum