On Fri, Jan 2, 2015 at 9:14 AM, Nilo de Roock <[email protected]> wrote: > ( cross-posted in Mathematics SE ) > implement a group action in Sage ( for educational purposes )? > > Let S= {"A","B","C","D"} and S4= SymmetricGroup(4). I want to create a table > of the action S4 x S -> S which standardly permutes the letters in the set. > The table should look like: > > Permutation. A. B. C. D > () A. B. C. D > (1 2 ) B. A. C. D. > etc. > > How can this be done with Sage? ( The Set and Group in the question are just > examples, I want to be able to create a table for any action.| i >
There is this answer: https://groups.google.com/forum/#!topic/sage-support/HX0QfXgwO5s and chapter 14 in http://abstract.ups.edu/download/aata-20111223-sage-4.8.pdf However, if S is a G-set of cardinality n, I think the simplest is simply to create a list indexed by 1, ..., n. Then have G act on {1, ..., n} and attached to those orbits the corresponding elements form S. > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
