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How to use elements of cartesian product of two groups?

asked 2012-09-08 15:47:13 +0200

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.

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answered 2012-09-08 22:22:25 +0200

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.

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Asked: 2012-09-08 15:47:13 +0200

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Last updated: Sep 08 '12