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Dear GAP Forum,

Nicola Sottocornola wrote:

> let H and K two groups and define

>

> G:=DirectProduct(H,K);

>

> If h is in H and k in K, how can I write the element (h,k) of G?

As product of the images of h and k under the two embeddings in HxK:

Image(Embedding(G,1),h)*Image(Embedding(G,1),k);

This will work regardless of the representation of G.

I hope this helps,

Alexander Hulpke

-- Colorado State University, Department of Mathematics,

Weber Building, Fort Collins, CO 80523, USA

email: hulpke@math.colostate.edu, Phone: ++1-970-4914288

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