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## Homework Statement

Let G1, G2 be groups with subgroups H1,H2. Show that

[{x1,x2) | x1 element of H1, x2 element of H2} is a subgroup of the direct product of G1 X G2

## The Attempt at a Solution

I'm not sure how to begin solving this problem.

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- #1

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Let G1, G2 be groups with subgroups H1,H2. Show that

[{x1,x2) | x1 element of H1, x2 element of H2} is a subgroup of the direct product of G1 X G2

I'm not sure how to begin solving this problem.

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Dick

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