Ask Your Question

How to use elements of cartesian product of two groups?

asked 2012-09-08 08:47:13 -0500

Fastfoot gravatar image

I want to have a group G = Sym(4) x Sym(4). I try this to define G: " G = CartesianProduct([SymmetricGroup(4)] , [SymmetricGroup(4)]) " Thank you for help.

edit retag flag offensive close merge delete

1 answer

Sort by ยป oldest newest most voted

answered 2012-09-08 15:22:25 -0500

I would try this:

sage: H = SymmetricGroup(4)
sage: G = H.direct_product(H)[0]

Then G will be represented as permutations of 1, 2, ..., 8. H.direct_product(H) is a tuple, the first entry of which is the actual direct product; the other entries give inclusions of the two factors into the product and projections, likewise.

edit flag offensive delete link more

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

1 follower


Asked: 2012-09-08 08:47:13 -0500

Seen: 213 times

Last updated: Sep 08 '12