I want to use sage to investigate the action of a group on a particular "set" which is being permuted. Specifically I want to look at the orbits of particular objects under the action of the group.
The group I'm looking at is the symmetry group of the square: G=DihedralGroup(4) I want to apply this group to the set of four indices "ijkl" and see the generated orbits for particular values of ijkl. These indices are effectively labels for the corners of the square. For example, the indices "1111" have the orbit "1111" under the group, whereas the indices "1112" should have the orbit "1112,1121,1211,2111", under the action. What's the best way to see this kind of behaviour for arbitrary indices using sage? -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
