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Dear Forum,

On Tue, Sep 04, 2001 at 10:33:17PM -0400, Chad T. Lower wrote:

> I am interested in working with groups formed by crossing two integer sets.

> For example: Z2 X Z2 = { (0,0), (0,1), (1,0), (1,1)}

It's not quite clear what group structure you have on each of the integer sets I_i.

Probably, they form a group under addition modulo m_i ?

In the latter case, your group is the direct product of cyclic groups of

orders m_1 and m_2 and GAP can quite happily work with them.

Have a look at CyclicGroup and DirectProduct.

HTH,

Dmitrii

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