AxB

Let A, B be groups. Prove that the following sets are subgroups of AxB:



Not sure how to do this with ordered pairs.

Quote:

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Originally Posted by dwsmith

Let A, B be groups. Prove that the following sets are subgroups of AxB:



Not sure how to do this with ordered pairs.

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Well, you can do it directly, but let me ask you this. The projection is a homomorphism by definition, right? What is its kernel?