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Prove that if A is a subgroup of G and B is a subgroup of H, then A x B is a subgroup

Chapter 15, Problem 15.20

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QUESTION:

Prove that if A is a subgroup of G and B is a subgroup of H, then A x B is a subgroup ofG x H.

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QUESTION:

Prove that if A is a subgroup of G and B is a subgroup of H, then A x B is a subgroup ofG x H.

ANSWER:

Step 1 of 4

Consider A is subgroup of G and B is a subgroup of H

Need to show that  is subgroup of

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